Closed #9556: Allowed specifying a time-of-day for a TimedRotatingFileHandler to rotate.
diff --git a/Doc/library/logging.handlers.rst b/Doc/library/logging.handlers.rst
index 30f9e03..909a678 100644
--- a/Doc/library/logging.handlers.rst
+++ b/Doc/library/logging.handlers.rst
@@ -296,7 +296,7 @@
 timed intervals.
 
 
-.. class:: TimedRotatingFileHandler(filename, when='h', interval=1, backupCount=0, encoding=None, delay=False, utc=False)
+.. class:: TimedRotatingFileHandler(filename, when='h', interval=1, backupCount=0, encoding=None, delay=False, utc=False, atTime=None)
 
    Returns a new instance of the :class:`TimedRotatingFileHandler` class. The
    specified file is opened and used as the stream for logging. On rotating it also
@@ -346,6 +346,12 @@
    If *delay* is true, then file opening is deferred until the first call to
    :meth:`emit`.
 
+   If *atTime* is not ``None``, it must be a ``datetime.time`` instance which
+   specifies the time of day when rollover occurs, for the cases where rollover
+   is set to happen "at midnight" or "on a particular weekday".
+
+   .. versionchanged:: 3.4
+      *atTime* parameter was added.
 
    .. method:: doRollover()