diff --git a/tests/test_integration_fast_train.py b/tests/test_integration_fast_train.py
index 09d32f100f..2cf7eee479 100644
--- a/tests/test_integration_fast_train.py
+++ b/tests/test_integration_fast_train.py
@@ -52,11 +52,12 @@
     ToDeviced,
 )
 from monai.utils import set_determinism
-from tests.utils import DistTestCase, TimedCall, skip_if_no_cuda, skip_if_quick
+from tests.utils import DistTestCase, SkipIfBeforePyTorchVersion, TimedCall, skip_if_no_cuda, skip_if_quick
 
 
 @skip_if_no_cuda
 @skip_if_quick
+@SkipIfBeforePyTorchVersion((1, 7))
 class IntegrationFastTrain(DistTestCase):
     def setUp(self):
         set_determinism(seed=0)