diff --git a/Lib/test/test_logging.py b/Lib/test/test_logging.py
index 42746d40d2c..14277369be4 100644
--- a/Lib/test/test_logging.py
+++ b/Lib/test/test_logging.py
@@ -689,6 +689,7 @@ def emit(self, record):
 
         self.assertEqual(len(logging._handlers), 0)
         refed_h = _OurHandler()
+        self.addCleanup(refed_h.sub_handler.stream.close)
         refed_h.name = 'because we need at least one for this test'
         self.assertGreater(len(logging._handlers), 0)
         self.assertGreater(len(logging._at_fork_reinit_lock_weakset), 1)