diff --git a/tensorflow_addons/callbacks/time_stopping.py b/tensorflow_addons/callbacks/time_stopping.py
index 846885fc78..5198a23322 100644
--- a/tensorflow_addons/callbacks/time_stopping.py
+++ b/tensorflow_addons/callbacks/time_stopping.py
@@ -38,18 +38,18 @@ def __init__(self, seconds: int = 86400, verbose: int = 0):
 
         self.seconds = seconds
         self.verbose = verbose
-        self.stopped_epoch = 0
+        self.stopped_epoch = None
 
     def on_train_begin(self, logs=None):
         self.stopping_time = time.time() + self.seconds
 
     def on_epoch_end(self, epoch, logs={}):
-        self.stopped_epoch = epoch
         if time.time() >= self.stopping_time:
             self.model.stop_training = True
+            self.stopped_epoch = epoch
 
     def on_train_end(self, logs=None):
-        if self.verbose > 0:
+        if self.stopped_epoch is not None and self.verbose > 0:
             formatted_time = datetime.timedelta(seconds=self.seconds)
             msg = "Timed stopping at epoch {} after training for {}".format(
                 self.stopped_epoch + 1, formatted_time