diff --git a/tensorflow/python/ops/stateful_random_ops_test.py b/tensorflow/python/ops/stateful_random_ops_test.py
index 4b04906ab82..a66e3ba3402 100644
--- a/tensorflow/python/ops/stateful_random_ops_test.py
+++ b/tensorflow/python/ops/stateful_random_ops_test.py
@@ -99,7 +99,9 @@ class StatefulRandomOpsTest(test.TestCase):
       check_results(expected_normal1, *f())
       check_results(expected_normal2, *f())
 
-  @test_util.run_v1_only
+  @test_util.run_v1_only(
+      ("This test is specifically for checking TF1 compatibility. "
+       "It cannot run under TF2."))
   def testTF1(self):
     seed = 1234
     shape = [2, 3]