diff --git a/apscheduler/schedulers/base.py b/apscheduler/schedulers/base.py
index 3ce2bfc52..aba723f48 100644
--- a/apscheduler/schedulers/base.py
+++ b/apscheduler/schedulers/base.py
@@ -1029,6 +1029,7 @@ def _process_jobs(self):
             wait_seconds = None
             self._logger.debug('No jobs; waiting until a job is added')
         else:
+            now = datetime.now(self.timezone)
             wait_seconds = min(max(timedelta_seconds(next_wakeup_time - now), 0), TIMEOUT_MAX)
             self._logger.debug('Next wakeup is due at %s (in %f seconds)', next_wakeup_time,
                                wait_seconds)
diff --git a/docs/versionhistory.rst b/docs/versionhistory.rst
index ec551e72d..ea0357184 100644
--- a/docs/versionhistory.rst
+++ b/docs/versionhistory.rst
@@ -12,6 +12,8 @@ UNRELEASED
   (PR by Ran Benita)
 * Fixed scheduling class methods like ``B.methodname`` where the ``B`` class inherits
   from class ``A`` and ``methodname`` is a class method of class ``A``
+* Fixed scheduler sleeping for too long (and thus jobs missing their scheduled run
+  times) if its wakeup cycle takes too much time (fix by kbasten)
 
 
 3.10.1