diff --git a/Lib/logging/config.py b/Lib/logging/config.py
index 1b0faca..c8a110c 100644
--- a/Lib/logging/config.py
+++ b/Lib/logging/config.py
@@ -525,5 +525,9 @@ class DictConfigurator(BaseConfigurator):
                 disable_existing = config.pop('disable_existing_loggers', True)

                 logging._handlers.clear()
+
+                # Try to close the handlers before deleting the handler list
+                logging.shutdown(logging._handlerList[:])
+
                 del logging._handlerList[:]

                 # Do formatters first - they don't refer to anything else