diff --git a/Lib/test/test_logging.py b/Lib/test/test_logging.py
index a06deff9d6b..08e2dca34b7 100644
--- a/Lib/test/test_logging.py
+++ b/Lib/test/test_logging.py
@@ -1907,7 +1907,10 @@ class HandlerTest(BaseTest):
                     h.handle(r)
             finally:
                 remover.join()
-                h.close()
+                try:
+                    h.close()
+                except ValueError:
+                    pass
                 if os.path.exists(fn):
                     os.unlink(fn)