diff --git a/Lib/test/test_asyncio/test_base_events.py b/Lib/test/test_asyncio/test_base_events.py
index ff537ab2bdd..96f29750c72 100644
--- a/Lib/test/test_asyncio/test_base_events.py
+++ b/Lib/test/test_asyncio/test_base_events.py
@@ -181,7 +181,7 @@ class BaseEventLoopTests(unittest.TestCase):
         self.loop._run_once()
 
         t = self.loop._selector.select.call_args[0][0]
-        self.assertTrue(9.9 < t < 10.1, t)
+        self.assertTrue(9.5 < t < 10.5, t)
         self.assertEqual([h2], self.loop._scheduled)
         self.assertTrue(self.loop._process_events.called)