diff --git a/tests/test_sockets.py b/tests/test_sockets.py
index 6a8a63f3..3c1f7a38 100644
--- a/tests/test_sockets.py
+++ b/tests/test_sockets.py
@@ -194,10 +194,11 @@ def test_socket_sync_remove_and_immediately_close(self):
             self.loop.run_until_complete(asyncio.sleep(0.01))
 
     def test_sock_cancel_add_reader_race(self):
-        if self.is_asyncio_loop() and sys.version_info[:3] == (3, 8, 0):
-            # asyncio 3.8.0 seems to have a regression;
-            # tracked in https://bugs.python.org/issue30064
-            raise unittest.SkipTest()
+        if self.is_asyncio_loop():
+            if (3, 8, 2) >= sys.version_info[:3] >= (3, 8, 0):
+                # asyncio 3.8.0 seems to have a regression;
+                # tracked in https://bugs.python.org/issue30064
+                raise unittest.SkipTest()
 
         srv_sock_conn = None