Closes #13807: Merged fix from 3.1.

Lib/logging/__init__.py

@@ -881,7 +881,7 @@ class Handler(Filterer):
         You could, however, replace this with a custom handler if you wish.
         The record which was being processed is passed in to this method.
         """
-        if raiseExceptions:
+        if raiseExceptions and sys.stderr:  # see issue 13807
             ei = sys.exc_info()
             try:
                 traceback.print_exception(ei[0], ei[1], ei[2],