diff --git a/tests/test_connector.py b/tests/test_connector.py
index 266afea42f5..5bbd42a3954 100644
--- a/tests/test_connector.py
+++ b/tests/test_connector.py
@@ -1144,6 +1144,7 @@ async def test_cleanup(key: Any) -> None:
     existing_handle = conn._cleanup_handle = mock.Mock()
 
     conn._cleanup()
+    await asyncio.sleep(0.1)  # Mitigate race condition on slow systems
     assert existing_handle.cancel.called
     assert conn._conns == {}
     assert conn._cleanup_handle is None
diff --git a/tests/test_loop.py b/tests/test_loop.py
index 7f31677b9d8..1041685e063 100644
--- a/tests/test_loop.py
+++ b/tests/test_loop.py
@@ -7,14 +7,14 @@
 
 from aiohttp import web
 from aiohttp.test_utils import AioHTTPTestCase, loop_context
-from tests._pytest_plugin import SUPPORTS_XDIST  # type: ignore[import]
+# from tests._pytest_plugin import SUPPORTS_XDIST  # type: ignore[import]
 
 
 @pytest.mark.skipif(
     platform.system() == "Windows", reason="the test is not valid for Windows"
 )
 async def test_subprocess_co(loop: Any) -> None:
-    assert PY_38 or threading.current_thread() is threading.main_thread() or SUPPORTS_XDIST
+    assert PY_38 or threading.current_thread() is threading.main_thread()  # or SUPPORTS_XDIST
     proc = await asyncio.create_subprocess_shell(
         "exit 0",
         stdin=asyncio.subprocess.DEVNULL,