diff --git a/tests/test_connector.py b/tests/test_connector.py
index 934af481cad..2ef92ae0357 100644
--- a/tests/test_connector.py
+++ b/tests/test_connector.py
@@ -1459,7 +1459,7 @@ async def test_cleanup(key: Any) -> None:
     existing_handle = conn._cleanup_handle = mock.Mock()
 
     conn._cleanup()
-    await asyncio.sleep(0.3)  # Mitigate race condition on slow systems
+    await asyncio.sleep(0.5)  # Mitigate race condition on slow systems
     assert existing_handle.cancel.called
     assert conn._conns == {}
     assert conn._cleanup_handle is None