diff --git a/pandas/tests/frame/test_reductions.py b/pandas/tests/frame/test_reductions.py
index df6f37c862323..a8f0e77df6af5 100644
--- a/pandas/tests/frame/test_reductions.py
+++ b/pandas/tests/frame/test_reductions.py
@@ -2170,3 +2170,18 @@ def test_numeric_ea_axis_1(method, skipna, min_count, any_numeric_ea_dtype):
     if method not in ("idxmax", "idxmin"):
         expected = expected.astype(expected_dtype)
     tm.assert_series_equal(result, expected)
+
+
+def test_mean_nullable_int_axis_1():
+    # GH##36585
+    df = DataFrame(
+        {"a": [1, 2, 3, 4], "b": Series([1, 2, 4, None], dtype=pd.Int64Dtype())}
+    )
+
+    result = df.mean(axis=1, skipna=True)
+    expected = Series([1.0, 2.0, 3.5, 4.0], dtype="Float64")
+    tm.assert_series_equal(result, expected)
+
+    result = df.mean(axis=1, skipna=False)
+    expected = Series([1.0, 2.0, 3.5, pd.NA], dtype="Float64")
+    tm.assert_series_equal(result, expected)