diff --git a/client/rest-high-level/src/main/java/org/elasticsearch/client/ml/job/process/ModelSizeStats.java b/client/rest-high-level/src/main/java/org/elasticsearch/client/ml/job/process/ModelSizeStats.java
index c9a34fe5c98d9..6ea3cede0e3f1 100644
--- a/client/rest-high-level/src/main/java/org/elasticsearch/client/ml/job/process/ModelSizeStats.java
+++ b/client/rest-high-level/src/main/java/org/elasticsearch/client/ml/job/process/ModelSizeStats.java
@@ -47,6 +47,8 @@ public class ModelSizeStats implements ToXContentObject {
      * Field Names
      */
     public static final ParseField MODEL_BYTES_FIELD = new ParseField("model_bytes");
+    public static final ParseField MODEL_BYTES_EXCEEDED_FIELD = new ParseField("model_bytes_exceeded");
+    public static final ParseField MODEL_BYTES_MEMORY_LIMIT_FIELD = new ParseField("model_bytes_memory_limit");
     public static final ParseField TOTAL_BY_FIELD_COUNT_FIELD = new ParseField("total_by_field_count");
     public static final ParseField TOTAL_OVER_FIELD_COUNT_FIELD = new ParseField("total_over_field_count");
     public static final ParseField TOTAL_PARTITION_FIELD_COUNT_FIELD = new ParseField("total_partition_field_count");
@@ -61,6 +63,8 @@ public class ModelSizeStats implements ToXContentObject {
     static {
         PARSER.declareString(ConstructingObjectParser.constructorArg(), Job.ID);
         PARSER.declareLong(Builder::setModelBytes, MODEL_BYTES_FIELD);
+        PARSER.declareLong(Builder::setModelBytesExceeded, MODEL_BYTES_EXCEEDED_FIELD);
+        PARSER.declareLong(Builder::setModelBytesMemoryLimit, MODEL_BYTES_MEMORY_LIMIT_FIELD);
         PARSER.declareLong(Builder::setBucketAllocationFailuresCount, BUCKET_ALLOCATION_FAILURES_COUNT_FIELD);
         PARSER.declareLong(Builder::setTotalByFieldCount, TOTAL_BY_FIELD_COUNT_FIELD);
         PARSER.declareLong(Builder::setTotalOverFieldCount, TOTAL_OVER_FIELD_COUNT_FIELD);
@@ -97,6 +101,8 @@ public String toString() {
 
     private final String jobId;
     private final long modelBytes;
+    private final Long modelBytesExceeded;
+    private final Long modelBytesMemoryLimit;
     private final long totalByFieldCount;
     private final long totalOverFieldCount;
     private final long totalPartitionFieldCount;
@@ -105,11 +111,13 @@ public String toString() {
     private final Date timestamp;
     private final Date logTime;
 
-    private ModelSizeStats(String jobId, long modelBytes, long totalByFieldCount, long totalOverFieldCount,
-                           long totalPartitionFieldCount, long bucketAllocationFailuresCount, MemoryStatus memoryStatus,
-                           Date timestamp, Date logTime) {
+    private ModelSizeStats(String jobId, long modelBytes, Long modelBytesExceeded, Long modelBytesMemoryLimit, long totalByFieldCount,
+                           long totalOverFieldCount, long totalPartitionFieldCount, long bucketAllocationFailuresCount,
+                           MemoryStatus memoryStatus, Date timestamp, Date logTime) {
         this.jobId = jobId;
         this.modelBytes = modelBytes;
+        this.modelBytesExceeded = modelBytesExceeded;
+        this.modelBytesMemoryLimit = modelBytesMemoryLimit;
         this.totalByFieldCount = totalByFieldCount;
         this.totalOverFieldCount = totalOverFieldCount;
         this.totalPartitionFieldCount = totalPartitionFieldCount;
@@ -126,6 +134,12 @@ public XContentBuilder toXContent(XContentBuilder builder, Params params) throws
         builder.field(Job.ID.getPreferredName(), jobId);
         builder.field(Result.RESULT_TYPE.getPreferredName(), RESULT_TYPE_VALUE);
         builder.field(MODEL_BYTES_FIELD.getPreferredName(), modelBytes);
+        if (modelBytesExceeded != null) {
+            builder.field(MODEL_BYTES_EXCEEDED_FIELD.getPreferredName(), modelBytesExceeded);
+        }
+        if (modelBytesMemoryLimit != null) {
+            builder.field(MODEL_BYTES_MEMORY_LIMIT_FIELD.getPreferredName(), modelBytesMemoryLimit);
+        }
         builder.field(TOTAL_BY_FIELD_COUNT_FIELD.getPreferredName(), totalByFieldCount);
         builder.field(TOTAL_OVER_FIELD_COUNT_FIELD.getPreferredName(), totalOverFieldCount);
         builder.field(TOTAL_PARTITION_FIELD_COUNT_FIELD.getPreferredName(), totalPartitionFieldCount);
@@ -148,6 +162,14 @@ public long getModelBytes() {
         return modelBytes;
     }
 
+    public Long getModelBytesExceeded() {
+        return modelBytesExceeded;
+    }
+
+    public Long getModelBytesMemoryLimit() {
+        return modelBytesMemoryLimit;
+    }
+
     public long getTotalByFieldCount() {
         return totalByFieldCount;
     }
@@ -188,8 +210,8 @@ public Date getLogTime() {
 
     @Override
     public int hashCode() {
-        return Objects.hash(jobId, modelBytes, totalByFieldCount, totalOverFieldCount, totalPartitionFieldCount,
-            this.bucketAllocationFailuresCount, memoryStatus, timestamp, logTime);
+        return Objects.hash(jobId, modelBytes, modelBytesExceeded, modelBytesMemoryLimit, totalByFieldCount, totalOverFieldCount,
+            totalPartitionFieldCount, this.bucketAllocationFailuresCount, memoryStatus, timestamp, logTime);
     }
 
     /**
@@ -207,7 +229,8 @@ public boolean equals(Object other) {
 
         ModelSizeStats that = (ModelSizeStats) other;
 
-        return this.modelBytes == that.modelBytes && this.totalByFieldCount == that.totalByFieldCount
+        return this.modelBytes == that.modelBytes && Objects.equals(this.modelBytesExceeded, that.modelBytesExceeded)
+            && Objects.equals(this.modelBytesMemoryLimit, that.modelBytesMemoryLimit) && this.totalByFieldCount == that.totalByFieldCount
             && this.totalOverFieldCount == that.totalOverFieldCount && this.totalPartitionFieldCount == that.totalPartitionFieldCount
             && this.bucketAllocationFailuresCount == that.bucketAllocationFailuresCount
             && Objects.equals(this.memoryStatus, that.memoryStatus) && Objects.equals(this.timestamp, that.timestamp)
@@ -219,6 +242,8 @@ public static class Builder {
 
         private final String jobId;
         private long modelBytes;
+        private Long modelBytesExceeded;
+        private Long modelBytesMemoryLimit;
         private long totalByFieldCount;
         private long totalOverFieldCount;
         private long totalPartitionFieldCount;
@@ -236,6 +261,8 @@ public Builder(String jobId) {
         public Builder(ModelSizeStats modelSizeStats) {
             this.jobId = modelSizeStats.jobId;
             this.modelBytes = modelSizeStats.modelBytes;
+            this.modelBytesExceeded = modelSizeStats.modelBytesExceeded;
+            this.modelBytesMemoryLimit = modelSizeStats.modelBytesMemoryLimit;
             this.totalByFieldCount = modelSizeStats.totalByFieldCount;
             this.totalOverFieldCount = modelSizeStats.totalOverFieldCount;
             this.totalPartitionFieldCount = modelSizeStats.totalPartitionFieldCount;
@@ -250,6 +277,16 @@ public Builder setModelBytes(long modelBytes) {
             return this;
         }
 
+        public Builder setModelBytesExceeded(long modelBytesExceeded) {
+            this.modelBytesExceeded = modelBytesExceeded;
+            return this;
+        }
+
+        public Builder setModelBytesMemoryLimit(long modelBytesMemoryLimit) {
+            this.modelBytesMemoryLimit = modelBytesMemoryLimit;
+            return this;
+        }
+
         public Builder setTotalByFieldCount(long totalByFieldCount) {
             this.totalByFieldCount = totalByFieldCount;
             return this;
@@ -287,8 +324,8 @@ public Builder setLogTime(Date logTime) {
         }
 
         public ModelSizeStats build() {
-            return new ModelSizeStats(jobId, modelBytes, totalByFieldCount, totalOverFieldCount, totalPartitionFieldCount,
-                bucketAllocationFailuresCount, memoryStatus, timestamp, logTime);
+            return new ModelSizeStats(jobId, modelBytes, modelBytesExceeded, modelBytesMemoryLimit, totalByFieldCount, totalOverFieldCount,
+                totalPartitionFieldCount, bucketAllocationFailuresCount, memoryStatus, timestamp, logTime);
         }
     }
 }
diff --git a/client/rest-high-level/src/test/java/org/elasticsearch/client/MachineLearningGetResultsIT.java b/client/rest-high-level/src/test/java/org/elasticsearch/client/MachineLearningGetResultsIT.java
index 092bc254f50fa..34ca5cd2aa448 100644
--- a/client/rest-high-level/src/test/java/org/elasticsearch/client/MachineLearningGetResultsIT.java
+++ b/client/rest-high-level/src/test/java/org/elasticsearch/client/MachineLearningGetResultsIT.java
@@ -150,11 +150,15 @@ private void addCategoriesIndexRequests(BulkRequest bulkRequest) {
 
     private void addModelSnapshotIndexRequests(BulkRequest bulkRequest) {
         {
+            // Index a number of model snapshots, one of which contains the new model_size_stats fields
+            // 'model_bytes_exceeded' and 'model_bytes_memory_limit' that were introduced in 7.2.0.
+            // We want to verify that we can parse the snapshots whether or not these fields are present.
             IndexRequest indexRequest = new IndexRequest(RESULTS_INDEX);
             indexRequest.source("{\"job_id\":\"" + JOB_ID + "\", \"timestamp\":1541587919000, " +
                 "\"description\":\"State persisted due to job close at 2018-11-07T10:51:59+0000\", \"snapshot_id\":\"1541587919\"," +
                 "\"snapshot_doc_count\":1, \"model_size_stats\":{\"job_id\":\"" + JOB_ID + "\", \"result_type\":\"model_size_stats\"," +
-                "\"model_bytes\":51722, \"total_by_field_count\":3, \"total_over_field_count\":0, \"total_partition_field_count\":2," +
+                "\"model_bytes\":51722, \"model_bytes_exceeded\":10762, \"model_bytes_memory_limit\":40960, \"total_by_field_count\":3, " +
+                "\"total_over_field_count\":0, \"total_partition_field_count\":2," +
                 "\"bucket_allocation_failures_count\":0, \"memory_status\":\"ok\", \"log_time\":1541587919000," +
                 " \"timestamp\":1519930800000},\"latest_record_time_stamp\":1519931700000, \"latest_result_time_stamp\":1519930800000," +
                 " \"retain\":false }", XContentType.JSON);
@@ -223,6 +227,8 @@ public void testGetModelSnapshots() throws IOException {
             assertThat(response.snapshots().get(0).getLatestResultTimeStamp(), equalTo(new Date(1519930800000L)));
             assertThat(response.snapshots().get(0).getModelSizeStats().getJobId(), equalTo(JOB_ID));
             assertThat(response.snapshots().get(0).getModelSizeStats().getModelBytes(), equalTo(51722L));
+            assertThat(response.snapshots().get(0).getModelSizeStats().getModelBytesExceeded(), equalTo(10762L));
+            assertThat(response.snapshots().get(0).getModelSizeStats().getModelBytesMemoryLimit(), equalTo(40960L));
             assertThat(response.snapshots().get(0).getModelSizeStats().getTotalByFieldCount(), equalTo(3L));
             assertThat(response.snapshots().get(0).getModelSizeStats().getTotalOverFieldCount(), equalTo(0L));
             assertThat(response.snapshots().get(0).getModelSizeStats().getTotalPartitionFieldCount(), equalTo(2L));
@@ -241,6 +247,8 @@ public void testGetModelSnapshots() throws IOException {
             assertThat(response.snapshots().get(1).getLatestResultTimeStamp(), equalTo(new Date(1519930800000L)));
             assertThat(response.snapshots().get(1).getModelSizeStats().getJobId(), equalTo(JOB_ID));
             assertThat(response.snapshots().get(1).getModelSizeStats().getModelBytes(), equalTo(51722L));
+            assertThat(response.snapshots().get(1).getModelSizeStats().getModelBytesExceeded(), equalTo(null));
+            assertThat(response.snapshots().get(1).getModelSizeStats().getModelBytesMemoryLimit(), equalTo(null));
             assertThat(response.snapshots().get(1).getModelSizeStats().getTotalByFieldCount(), equalTo(3L));
             assertThat(response.snapshots().get(1).getModelSizeStats().getTotalOverFieldCount(), equalTo(0L));
             assertThat(response.snapshots().get(1).getModelSizeStats().getTotalPartitionFieldCount(), equalTo(2L));
@@ -259,6 +267,8 @@ public void testGetModelSnapshots() throws IOException {
             assertThat(response.snapshots().get(2).getLatestResultTimeStamp(), equalTo(new Date(1519930800000L)));
             assertThat(response.snapshots().get(2).getModelSizeStats().getJobId(), equalTo(JOB_ID));
             assertThat(response.snapshots().get(2).getModelSizeStats().getModelBytes(), equalTo(51722L));
+            assertThat(response.snapshots().get(2).getModelSizeStats().getModelBytesExceeded(), equalTo(null));
+            assertThat(response.snapshots().get(2).getModelSizeStats().getModelBytesMemoryLimit(), equalTo(null));
             assertThat(response.snapshots().get(2).getModelSizeStats().getTotalByFieldCount(), equalTo(3L));
             assertThat(response.snapshots().get(2).getModelSizeStats().getTotalOverFieldCount(), equalTo(0L));
             assertThat(response.snapshots().get(2).getModelSizeStats().getTotalPartitionFieldCount(), equalTo(2L));
@@ -288,6 +298,8 @@ public void testGetModelSnapshots() throws IOException {
             assertThat(response.snapshots().get(2).getLatestResultTimeStamp(), equalTo(new Date(1519930800000L)));
             assertThat(response.snapshots().get(2).getModelSizeStats().getJobId(), equalTo(JOB_ID));
             assertThat(response.snapshots().get(2).getModelSizeStats().getModelBytes(), equalTo(51722L));
+            assertThat(response.snapshots().get(2).getModelSizeStats().getModelBytesExceeded(), equalTo(10762L));
+            assertThat(response.snapshots().get(2).getModelSizeStats().getModelBytesMemoryLimit(), equalTo(40960L));
             assertThat(response.snapshots().get(2).getModelSizeStats().getTotalByFieldCount(), equalTo(3L));
             assertThat(response.snapshots().get(2).getModelSizeStats().getTotalOverFieldCount(), equalTo(0L));
             assertThat(response.snapshots().get(2).getModelSizeStats().getTotalPartitionFieldCount(), equalTo(2L));
@@ -306,6 +318,8 @@ public void testGetModelSnapshots() throws IOException {
             assertThat(response.snapshots().get(1).getLatestResultTimeStamp(), equalTo(new Date(1519930800000L)));
             assertThat(response.snapshots().get(1).getModelSizeStats().getJobId(), equalTo(JOB_ID));
             assertThat(response.snapshots().get(1).getModelSizeStats().getModelBytes(), equalTo(51722L));
+            assertThat(response.snapshots().get(1).getModelSizeStats().getModelBytesExceeded(), equalTo(null));
+            assertThat(response.snapshots().get(1).getModelSizeStats().getModelBytesMemoryLimit(), equalTo(null));
             assertThat(response.snapshots().get(1).getModelSizeStats().getTotalByFieldCount(), equalTo(3L));
             assertThat(response.snapshots().get(1).getModelSizeStats().getTotalOverFieldCount(), equalTo(0L));
             assertThat(response.snapshots().get(1).getModelSizeStats().getTotalPartitionFieldCount(), equalTo(2L));
@@ -324,6 +338,8 @@ public void testGetModelSnapshots() throws IOException {
             assertThat(response.snapshots().get(0).getLatestResultTimeStamp(), equalTo(new Date(1519930800000L)));
             assertThat(response.snapshots().get(0).getModelSizeStats().getJobId(), equalTo(JOB_ID));
             assertThat(response.snapshots().get(0).getModelSizeStats().getModelBytes(), equalTo(51722L));
+            assertThat(response.snapshots().get(0).getModelSizeStats().getModelBytesExceeded(), equalTo(null));
+            assertThat(response.snapshots().get(0).getModelSizeStats().getModelBytesMemoryLimit(), equalTo(null));
             assertThat(response.snapshots().get(0).getModelSizeStats().getTotalByFieldCount(), equalTo(3L));
             assertThat(response.snapshots().get(0).getModelSizeStats().getTotalOverFieldCount(), equalTo(0L));
             assertThat(response.snapshots().get(0).getModelSizeStats().getTotalPartitionFieldCount(), equalTo(2L));
@@ -353,6 +369,8 @@ public void testGetModelSnapshots() throws IOException {
             assertThat(response.snapshots().get(0).getLatestResultTimeStamp(), equalTo(new Date(1519930800000L)));
             assertThat(response.snapshots().get(0).getModelSizeStats().getJobId(), equalTo(JOB_ID));
             assertThat(response.snapshots().get(0).getModelSizeStats().getModelBytes(), equalTo(51722L));
+            assertThat(response.snapshots().get(0).getModelSizeStats().getModelBytesExceeded(), equalTo(10762L));
+            assertThat(response.snapshots().get(0).getModelSizeStats().getModelBytesMemoryLimit(), equalTo(40960L));
             assertThat(response.snapshots().get(0).getModelSizeStats().getTotalByFieldCount(), equalTo(3L));
             assertThat(response.snapshots().get(0).getModelSizeStats().getTotalOverFieldCount(), equalTo(0L));
             assertThat(response.snapshots().get(0).getModelSizeStats().getTotalPartitionFieldCount(), equalTo(2L));
@@ -383,6 +401,8 @@ public void testGetModelSnapshots() throws IOException {
             assertThat(response.snapshots().get(0).getLatestResultTimeStamp(), equalTo(new Date(1519930800000L)));
             assertThat(response.snapshots().get(0).getModelSizeStats().getJobId(), equalTo(JOB_ID));
             assertThat(response.snapshots().get(0).getModelSizeStats().getModelBytes(), equalTo(51722L));
+            assertThat(response.snapshots().get(0).getModelSizeStats().getModelBytesExceeded(), equalTo(null));
+            assertThat(response.snapshots().get(0).getModelSizeStats().getModelBytesMemoryLimit(), equalTo(null));
             assertThat(response.snapshots().get(0).getModelSizeStats().getTotalByFieldCount(), equalTo(3L));
             assertThat(response.snapshots().get(0).getModelSizeStats().getTotalOverFieldCount(), equalTo(0L));
             assertThat(response.snapshots().get(0).getModelSizeStats().getTotalPartitionFieldCount(), equalTo(2L));
@@ -402,6 +422,8 @@ public void testGetModelSnapshots() throws IOException {
             assertThat(response.snapshots().get(1).getLatestResultTimeStamp(), equalTo(new Date(1519930800000L)));
             assertThat(response.snapshots().get(1).getModelSizeStats().getJobId(), equalTo(JOB_ID));
             assertThat(response.snapshots().get(1).getModelSizeStats().getModelBytes(), equalTo(51722L));
+            assertThat(response.snapshots().get(1).getModelSizeStats().getModelBytesExceeded(), equalTo(null));
+            assertThat(response.snapshots().get(1).getModelSizeStats().getModelBytesMemoryLimit(), equalTo(null));
             assertThat(response.snapshots().get(1).getModelSizeStats().getTotalByFieldCount(), equalTo(3L));
             assertThat(response.snapshots().get(1).getModelSizeStats().getTotalOverFieldCount(), equalTo(0L));
             assertThat(response.snapshots().get(1).getModelSizeStats().getTotalPartitionFieldCount(), equalTo(2L));
@@ -430,6 +452,8 @@ public void testGetModelSnapshots() throws IOException {
             assertThat(response.snapshots().get(0).getLatestResultTimeStamp(), equalTo(new Date(1519930800000L)));
             assertThat(response.snapshots().get(0).getModelSizeStats().getJobId(), equalTo(JOB_ID));
             assertThat(response.snapshots().get(0).getModelSizeStats().getModelBytes(), equalTo(51722L));
+            assertThat(response.snapshots().get(0).getModelSizeStats().getModelBytesExceeded(), equalTo(null));
+            assertThat(response.snapshots().get(0).getModelSizeStats().getModelBytesMemoryLimit(), equalTo(null));
             assertThat(response.snapshots().get(0).getModelSizeStats().getTotalByFieldCount(), equalTo(3L));
             assertThat(response.snapshots().get(0).getModelSizeStats().getTotalOverFieldCount(), equalTo(0L));
             assertThat(response.snapshots().get(0).getModelSizeStats().getTotalPartitionFieldCount(), equalTo(2L));
@@ -470,6 +494,8 @@ public void testGetModelSnapshots() throws IOException {
             assertThat(response.snapshots().get(0).getLatestResultTimeStamp(), equalTo(new Date(1519930800000L)));
             assertThat(response.snapshots().get(0).getModelSizeStats().getJobId(), equalTo(JOB_ID));
             assertThat(response.snapshots().get(0).getModelSizeStats().getModelBytes(), equalTo(51722L));
+            assertThat(response.snapshots().get(0).getModelSizeStats().getModelBytesExceeded(), equalTo(10762L));
+            assertThat(response.snapshots().get(0).getModelSizeStats().getModelBytesMemoryLimit(), equalTo(40960L));
             assertThat(response.snapshots().get(0).getModelSizeStats().getTotalByFieldCount(), equalTo(3L));
             assertThat(response.snapshots().get(0).getModelSizeStats().getTotalOverFieldCount(), equalTo(0L));
             assertThat(response.snapshots().get(0).getModelSizeStats().getTotalPartitionFieldCount(), equalTo(2L));
@@ -488,6 +514,8 @@ public void testGetModelSnapshots() throws IOException {
             assertThat(response.snapshots().get(1).getLatestResultTimeStamp(), equalTo(new Date(1519930800000L)));
             assertThat(response.snapshots().get(1).getModelSizeStats().getJobId(), equalTo(JOB_ID));
             assertThat(response.snapshots().get(1).getModelSizeStats().getModelBytes(), equalTo(51722L));
+            assertThat(response.snapshots().get(1).getModelSizeStats().getModelBytesExceeded(), equalTo(null));
+            assertThat(response.snapshots().get(1).getModelSizeStats().getModelBytesMemoryLimit(), equalTo(null));
             assertThat(response.snapshots().get(1).getModelSizeStats().getTotalByFieldCount(), equalTo(3L));
             assertThat(response.snapshots().get(1).getModelSizeStats().getTotalOverFieldCount(), equalTo(0L));
             assertThat(response.snapshots().get(1).getModelSizeStats().getTotalPartitionFieldCount(), equalTo(2L));
@@ -517,6 +545,8 @@ public void testGetModelSnapshots() throws IOException {
             assertThat(response.snapshots().get(0).getLatestResultTimeStamp(), equalTo(new Date(1519930800000L)));
             assertThat(response.snapshots().get(0).getModelSizeStats().getJobId(), equalTo(JOB_ID));
             assertThat(response.snapshots().get(0).getModelSizeStats().getModelBytes(), equalTo(51722L));
+            assertThat(response.snapshots().get(0).getModelSizeStats().getModelBytesExceeded(), equalTo(null));
+            assertThat(response.snapshots().get(0).getModelSizeStats().getModelBytesMemoryLimit(), equalTo(null));
             assertThat(response.snapshots().get(0).getModelSizeStats().getTotalByFieldCount(), equalTo(3L));
             assertThat(response.snapshots().get(0).getModelSizeStats().getTotalOverFieldCount(), equalTo(0L));
             assertThat(response.snapshots().get(0).getModelSizeStats().getTotalPartitionFieldCount(), equalTo(2L));
diff --git a/client/rest-high-level/src/test/java/org/elasticsearch/client/ml/job/process/ModelSizeStatsTests.java b/client/rest-high-level/src/test/java/org/elasticsearch/client/ml/job/process/ModelSizeStatsTests.java
index 4a12a75f2b17d..8c43feb545a26 100644
--- a/client/rest-high-level/src/test/java/org/elasticsearch/client/ml/job/process/ModelSizeStatsTests.java
+++ b/client/rest-high-level/src/test/java/org/elasticsearch/client/ml/job/process/ModelSizeStatsTests.java
@@ -31,6 +31,8 @@ public class ModelSizeStatsTests extends AbstractXContentTestCase<ModelSizeStats
     public void testDefaultConstructor() {
         ModelSizeStats stats = new ModelSizeStats.Builder("foo").build();
         assertEquals(0, stats.getModelBytes());
+        assertNull(stats.getModelBytesExceeded());
+        assertNull(stats.getModelBytesMemoryLimit());
         assertEquals(0, stats.getTotalByFieldCount());
         assertEquals(0, stats.getTotalOverFieldCount());
         assertEquals(0, stats.getTotalPartitionFieldCount());
@@ -67,6 +69,12 @@ public static ModelSizeStats createRandomized() {
         if (randomBoolean()) {
             stats.setModelBytes(randomNonNegativeLong());
         }
+        if (randomBoolean()) {
+            stats.setModelBytesExceeded(randomNonNegativeLong());
+        }
+        if (randomBoolean()) {
+            stats.setModelBytesMemoryLimit(randomNonNegativeLong());
+        }
         if (randomBoolean()) {
             stats.setTotalByFieldCount(randomNonNegativeLong());
         }
diff --git a/x-pack/plugin/core/src/main/java/org/elasticsearch/xpack/core/ml/job/messages/Messages.java b/x-pack/plugin/core/src/main/java/org/elasticsearch/xpack/core/ml/job/messages/Messages.java
index 42ce9eb4273a1..22eb0dc357bed 100644
--- a/x-pack/plugin/core/src/main/java/org/elasticsearch/xpack/core/ml/job/messages/Messages.java
+++ b/x-pack/plugin/core/src/main/java/org/elasticsearch/xpack/core/ml/job/messages/Messages.java
@@ -91,8 +91,11 @@ public final class Messages {
     public static final String JOB_AUDIT_CALENDARS_UPDATED_ON_PROCESS = "Updated calendars in running process";
     public static final String JOB_AUDIT_MEMORY_STATUS_SOFT_LIMIT = "Job memory status changed to soft_limit; memory pruning will now be " +
             "more aggressive";
-    public static final String JOB_AUDIT_MEMORY_STATUS_HARD_LIMIT = "Job memory status changed to hard_limit at {0}; adjust the " +
-            "analysis_limits.model_memory_limit setting to ensure all data is analyzed";
+    public static final String JOB_AUDIT_MEMORY_STATUS_HARD_LIMIT = "Job memory status changed to hard_limit; " +
+            "job exceeded model memory limit {0} by {1}. " +
+            "Adjust the analysis_limits.model_memory_limit setting to ensure all data is analyzed";
+    public static final String JOB_AUDIT_MEMORY_STATUS_HARD_LIMIT_PRE_7_2 = "Job memory status changed to hard_limit at {0}; adjust the " +
+        "analysis_limits.model_memory_limit setting to ensure all data is analyzed";
 
     public static final String JOB_CONFIG_CATEGORIZATION_FILTERS_CONTAINS_DUPLICATES = "categorization_filters contain duplicates";
     public static final String JOB_CONFIG_CATEGORIZATION_FILTERS_CONTAINS_EMPTY =
diff --git a/x-pack/plugin/core/src/main/java/org/elasticsearch/xpack/core/ml/job/process/autodetect/state/ModelSizeStats.java b/x-pack/plugin/core/src/main/java/org/elasticsearch/xpack/core/ml/job/process/autodetect/state/ModelSizeStats.java
index f5d7cebbc4c52..f02120433efc4 100644
--- a/x-pack/plugin/core/src/main/java/org/elasticsearch/xpack/core/ml/job/process/autodetect/state/ModelSizeStats.java
+++ b/x-pack/plugin/core/src/main/java/org/elasticsearch/xpack/core/ml/job/process/autodetect/state/ModelSizeStats.java
@@ -5,6 +5,7 @@
  */
 package org.elasticsearch.xpack.core.ml.job.process.autodetect.state;
 
+import org.elasticsearch.Version;
 import org.elasticsearch.common.ParseField;
 import org.elasticsearch.common.io.stream.StreamInput;
 import org.elasticsearch.common.io.stream.StreamOutput;
@@ -38,6 +39,8 @@ public class ModelSizeStats implements ToXContentObject, Writeable {
      * Field Names
      */
     public static final ParseField MODEL_BYTES_FIELD = new ParseField("model_bytes");
+    public static final ParseField MODEL_BYTES_EXCEEDED_FIELD = new ParseField("model_bytes_exceeded");
+    public static final ParseField MODEL_BYTES_MEMORY_LIMIT_FIELD = new ParseField("model_bytes_memory_limit");
     public static final ParseField TOTAL_BY_FIELD_COUNT_FIELD = new ParseField("total_by_field_count");
     public static final ParseField TOTAL_OVER_FIELD_COUNT_FIELD = new ParseField("total_over_field_count");
     public static final ParseField TOTAL_PARTITION_FIELD_COUNT_FIELD = new ParseField("total_partition_field_count");
@@ -56,6 +59,8 @@ private static ConstructingObjectParser<Builder, Void> createParser(boolean igno
         parser.declareString(ConstructingObjectParser.constructorArg(), Job.ID);
         parser.declareString((modelSizeStat, s) -> {}, Result.RESULT_TYPE);
         parser.declareLong(Builder::setModelBytes, MODEL_BYTES_FIELD);
+        parser.declareLong(Builder::setModelBytesExceeded, MODEL_BYTES_EXCEEDED_FIELD);
+        parser.declareLong(Builder::setModelBytesMemoryLimit, MODEL_BYTES_MEMORY_LIMIT_FIELD);
         parser.declareLong(Builder::setBucketAllocationFailuresCount, BUCKET_ALLOCATION_FAILURES_COUNT_FIELD);
         parser.declareLong(Builder::setTotalByFieldCount, TOTAL_BY_FIELD_COUNT_FIELD);
         parser.declareLong(Builder::setTotalOverFieldCount, TOTAL_OVER_FIELD_COUNT_FIELD);
@@ -100,6 +105,8 @@ public String toString() {
 
     private final String jobId;
     private final long modelBytes;
+    private final Long modelBytesExceeded;
+    private final Long modelBytesMemoryLimit;
     private final long totalByFieldCount;
     private final long totalOverFieldCount;
     private final long totalPartitionFieldCount;
@@ -108,11 +115,14 @@ public String toString() {
     private final Date timestamp;
     private final Date logTime;
 
-    private ModelSizeStats(String jobId, long modelBytes, long totalByFieldCount, long totalOverFieldCount,
-                           long totalPartitionFieldCount, long bucketAllocationFailuresCount, MemoryStatus memoryStatus,
+    private ModelSizeStats(String jobId, long modelBytes, Long modelBytesExceeded, Long modelBytesMemoryLimit, long totalByFieldCount,
+                           long totalOverFieldCount, long totalPartitionFieldCount, long bucketAllocationFailuresCount,
+                           MemoryStatus memoryStatus,
                            Date timestamp, Date logTime) {
         this.jobId = jobId;
         this.modelBytes = modelBytes;
+        this.modelBytesExceeded = modelBytesExceeded;
+        this.modelBytesMemoryLimit = modelBytesMemoryLimit;
         this.totalByFieldCount = totalByFieldCount;
         this.totalOverFieldCount = totalOverFieldCount;
         this.totalPartitionFieldCount = totalPartitionFieldCount;
@@ -125,6 +135,16 @@ private ModelSizeStats(String jobId, long modelBytes, long totalByFieldCount, lo
     public ModelSizeStats(StreamInput in) throws IOException {
         jobId = in.readString();
         modelBytes = in.readVLong();
+        if (in.getVersion().onOrAfter(Version.V_7_2_0)) {
+            modelBytesExceeded = in.readOptionalLong();
+        } else {
+            modelBytesExceeded = null;
+        }
+        if (in.getVersion().onOrAfter(Version.V_7_2_0)) {
+            modelBytesMemoryLimit = in.readOptionalLong();
+        } else {
+            modelBytesMemoryLimit = null;
+        }
         totalByFieldCount = in.readVLong();
         totalOverFieldCount = in.readVLong();
         totalPartitionFieldCount = in.readVLong();
@@ -146,6 +166,12 @@ public static String documentIdPrefix(String jobId) {
     public void writeTo(StreamOutput out) throws IOException {
         out.writeString(jobId);
         out.writeVLong(modelBytes);
+        if (out.getVersion().onOrAfter(Version.V_7_2_0)) {
+            out.writeOptionalLong(modelBytesExceeded);
+        }
+        if (out.getVersion().onOrAfter(Version.V_7_2_0)) {
+            out.writeOptionalLong(modelBytesMemoryLimit);
+        }
         out.writeVLong(totalByFieldCount);
         out.writeVLong(totalOverFieldCount);
         out.writeVLong(totalPartitionFieldCount);
@@ -171,6 +197,12 @@ public XContentBuilder doXContentBody(XContentBuilder builder) throws IOExceptio
         builder.field(Job.ID.getPreferredName(), jobId);
         builder.field(Result.RESULT_TYPE.getPreferredName(), RESULT_TYPE_VALUE);
         builder.field(MODEL_BYTES_FIELD.getPreferredName(), modelBytes);
+        if (modelBytesExceeded != null) {
+            builder.field(MODEL_BYTES_EXCEEDED_FIELD.getPreferredName(), modelBytesExceeded);
+        }
+        if (modelBytesMemoryLimit != null) {
+            builder.field(MODEL_BYTES_MEMORY_LIMIT_FIELD.getPreferredName(), modelBytesMemoryLimit);
+        }
         builder.field(TOTAL_BY_FIELD_COUNT_FIELD.getPreferredName(), totalByFieldCount);
         builder.field(TOTAL_OVER_FIELD_COUNT_FIELD.getPreferredName(), totalOverFieldCount);
         builder.field(TOTAL_PARTITION_FIELD_COUNT_FIELD.getPreferredName(), totalPartitionFieldCount);
@@ -192,6 +224,14 @@ public long getModelBytes() {
         return modelBytes;
     }
 
+    public Long getModelBytesExceeded() {
+        return modelBytesExceeded;
+    }
+
+    public Long getModelBytesMemoryLimit() {
+        return modelBytesMemoryLimit;
+    }
+
     public long getTotalByFieldCount() {
         return totalByFieldCount;
     }
@@ -231,8 +271,8 @@ public Date getLogTime() {
     @Override
     public int hashCode() {
         // this.id excluded here as it is generated by the datastore
-        return Objects.hash(jobId, modelBytes, totalByFieldCount, totalOverFieldCount, totalPartitionFieldCount,
-                this.bucketAllocationFailuresCount, memoryStatus, timestamp, logTime);
+        return Objects.hash(jobId, modelBytes, modelBytesExceeded, modelBytesMemoryLimit, totalByFieldCount, totalOverFieldCount,
+                totalPartitionFieldCount, this.bucketAllocationFailuresCount, memoryStatus, timestamp, logTime);
     }
 
     /**
@@ -250,7 +290,9 @@ public boolean equals(Object other) {
 
         ModelSizeStats that = (ModelSizeStats) other;
 
-        return this.modelBytes == that.modelBytes && this.totalByFieldCount == that.totalByFieldCount
+        return this.modelBytes == that.modelBytes && Objects.equals(this.modelBytesExceeded, that.modelBytesExceeded)
+                && Objects.equals(this.modelBytesMemoryLimit, that.modelBytesMemoryLimit)
+                && this.totalByFieldCount == that.totalByFieldCount
                 && this.totalOverFieldCount == that.totalOverFieldCount && this.totalPartitionFieldCount == that.totalPartitionFieldCount
                 && this.bucketAllocationFailuresCount == that.bucketAllocationFailuresCount
                 && Objects.equals(this.memoryStatus, that.memoryStatus) && Objects.equals(this.timestamp, that.timestamp)
@@ -262,6 +304,8 @@ public static class Builder {
 
         private final String jobId;
         private long modelBytes;
+        private Long modelBytesExceeded;
+        private Long modelBytesMemoryLimit;
         private long totalByFieldCount;
         private long totalOverFieldCount;
         private long totalPartitionFieldCount;
@@ -279,6 +323,8 @@ public Builder(String jobId) {
         public Builder(ModelSizeStats modelSizeStats) {
             this.jobId = modelSizeStats.jobId;
             this.modelBytes = modelSizeStats.modelBytes;
+            this.modelBytesExceeded = modelSizeStats.modelBytesExceeded;
+            this.modelBytesMemoryLimit = modelSizeStats.modelBytesMemoryLimit;
             this.totalByFieldCount = modelSizeStats.totalByFieldCount;
             this.totalOverFieldCount = modelSizeStats.totalOverFieldCount;
             this.totalPartitionFieldCount = modelSizeStats.totalPartitionFieldCount;
@@ -293,6 +339,16 @@ public Builder setModelBytes(long modelBytes) {
             return this;
         }
 
+        public Builder setModelBytesExceeded(long modelBytesExceeded) {
+            this.modelBytesExceeded = modelBytesExceeded;
+            return this;
+        }
+
+        public Builder setModelBytesMemoryLimit(long modelBytesMemoryLimit) {
+            this.modelBytesMemoryLimit = modelBytesMemoryLimit;
+            return this;
+        }
+
         public Builder setTotalByFieldCount(long totalByFieldCount) {
             this.totalByFieldCount = totalByFieldCount;
             return this;
@@ -330,8 +386,8 @@ public Builder setLogTime(Date logTime) {
         }
 
         public ModelSizeStats build() {
-            return new ModelSizeStats(jobId, modelBytes, totalByFieldCount, totalOverFieldCount, totalPartitionFieldCount,
-                    bucketAllocationFailuresCount, memoryStatus, timestamp, logTime);
+            return new ModelSizeStats(jobId, modelBytes, modelBytesExceeded, modelBytesMemoryLimit, totalByFieldCount, totalOverFieldCount,
+                    totalPartitionFieldCount, bucketAllocationFailuresCount, memoryStatus, timestamp, logTime);
         }
     }
 }
diff --git a/x-pack/plugin/core/src/test/java/org/elasticsearch/xpack/core/ml/job/process/autodetect/state/ModelSizeStatsTests.java b/x-pack/plugin/core/src/test/java/org/elasticsearch/xpack/core/ml/job/process/autodetect/state/ModelSizeStatsTests.java
index e66fea90f049b..90e4bacc3f8b1 100644
--- a/x-pack/plugin/core/src/test/java/org/elasticsearch/xpack/core/ml/job/process/autodetect/state/ModelSizeStatsTests.java
+++ b/x-pack/plugin/core/src/test/java/org/elasticsearch/xpack/core/ml/job/process/autodetect/state/ModelSizeStatsTests.java
@@ -22,6 +22,8 @@ public class ModelSizeStatsTests extends AbstractSerializingTestCase<ModelSizeSt
     public void testDefaultConstructor() {
         ModelSizeStats stats = new ModelSizeStats.Builder("foo").build();
         assertEquals(0, stats.getModelBytes());
+        assertEquals(null, stats.getModelBytesExceeded());
+        assertEquals(null, stats.getModelBytesMemoryLimit());
         assertEquals(0, stats.getTotalByFieldCount());
         assertEquals(0, stats.getTotalOverFieldCount());
         assertEquals(0, stats.getTotalPartitionFieldCount());
@@ -58,6 +60,12 @@ public static ModelSizeStats createRandomized() {
         if (randomBoolean()) {
             stats.setModelBytes(randomNonNegativeLong());
         }
+        if (randomBoolean()) {
+            stats.setModelBytesExceeded(randomNonNegativeLong());
+        }
+        if (randomBoolean()) {
+            stats.setModelBytesMemoryLimit(randomNonNegativeLong());
+        }
         if (randomBoolean()) {
             stats.setTotalByFieldCount(randomNonNegativeLong());
         }
diff --git a/x-pack/plugin/ml/src/main/java/org/elasticsearch/xpack/ml/job/process/autodetect/output/AutoDetectResultProcessor.java b/x-pack/plugin/ml/src/main/java/org/elasticsearch/xpack/ml/job/process/autodetect/output/AutoDetectResultProcessor.java
index 29d141717ccc8..4516686b65202 100644
--- a/x-pack/plugin/ml/src/main/java/org/elasticsearch/xpack/ml/job/process/autodetect/output/AutoDetectResultProcessor.java
+++ b/x-pack/plugin/ml/src/main/java/org/elasticsearch/xpack/ml/job/process/autodetect/output/AutoDetectResultProcessor.java
@@ -294,8 +294,14 @@ private void notifyModelMemoryStatusChange(Context context, ModelSizeStats model
             if (memoryStatus == ModelSizeStats.MemoryStatus.SOFT_LIMIT) {
                 auditor.warning(context.jobId, Messages.getMessage(Messages.JOB_AUDIT_MEMORY_STATUS_SOFT_LIMIT));
             } else if (memoryStatus == ModelSizeStats.MemoryStatus.HARD_LIMIT) {
-                auditor.error(context.jobId, Messages.getMessage(Messages.JOB_AUDIT_MEMORY_STATUS_HARD_LIMIT,
+                if (modelSizeStats.getModelBytesMemoryLimit() == null || modelSizeStats.getModelBytesExceeded() == null) {
+                    auditor.error(context.jobId, Messages.getMessage(Messages.JOB_AUDIT_MEMORY_STATUS_HARD_LIMIT_PRE_7_2,
                         new ByteSizeValue(modelSizeStats.getModelBytes(), ByteSizeUnit.BYTES).toString()));
+                } else {
+                    auditor.error(context.jobId, Messages.getMessage(Messages.JOB_AUDIT_MEMORY_STATUS_HARD_LIMIT,
+                        new ByteSizeValue(modelSizeStats.getModelBytesMemoryLimit(), ByteSizeUnit.BYTES).toString(),
+                        new ByteSizeValue(modelSizeStats.getModelBytesExceeded(), ByteSizeUnit.BYTES).toString()));
+                }
             }
         }
     }
diff --git a/x-pack/plugin/ml/src/test/java/org/elasticsearch/xpack/ml/job/process/autodetect/output/AutoDetectResultProcessorTests.java b/x-pack/plugin/ml/src/test/java/org/elasticsearch/xpack/ml/job/process/autodetect/output/AutoDetectResultProcessorTests.java
index 86f408a42d43b..40a1d3f969157 100644
--- a/x-pack/plugin/ml/src/test/java/org/elasticsearch/xpack/ml/job/process/autodetect/output/AutoDetectResultProcessorTests.java
+++ b/x-pack/plugin/ml/src/test/java/org/elasticsearch/xpack/ml/job/process/autodetect/output/AutoDetectResultProcessorTests.java
@@ -301,7 +301,8 @@ public void testProcessResult_modelSizeStatsWithMemoryStatusChanges() {
         // Now with hard_limit
         modelSizeStats = new ModelSizeStats.Builder(JOB_ID)
                 .setMemoryStatus(ModelSizeStats.MemoryStatus.HARD_LIMIT)
-                .setModelBytes(new ByteSizeValue(512, ByteSizeUnit.MB).getBytes())
+                .setModelBytesMemoryLimit(new ByteSizeValue(512, ByteSizeUnit.MB).getBytes())
+                .setModelBytesExceeded(new ByteSizeValue(1, ByteSizeUnit.KB).getBytes())
                 .build();
         when(result.getModelSizeStats()).thenReturn(modelSizeStats);
         processorUnderTest.processResult(context, result);
@@ -311,9 +312,9 @@ public void testProcessResult_modelSizeStatsWithMemoryStatusChanges() {
         when(result.getModelSizeStats()).thenReturn(modelSizeStats);
         processorUnderTest.processResult(context, result);
 
-        // We should have only fired to notifications: one for soft_limit and one for hard_limit
+        // We should have only fired two notifications: one for soft_limit and one for hard_limit
         verify(auditor).warning(JOB_ID, Messages.getMessage(Messages.JOB_AUDIT_MEMORY_STATUS_SOFT_LIMIT));
-        verify(auditor).error(JOB_ID, Messages.getMessage(Messages.JOB_AUDIT_MEMORY_STATUS_HARD_LIMIT, "512mb"));
+        verify(auditor).error(JOB_ID, Messages.getMessage(Messages.JOB_AUDIT_MEMORY_STATUS_HARD_LIMIT, "512mb", "1kb"));
         verifyNoMoreInteractions(auditor);
     }