diff --git a/brozzler/frontier.py b/brozzler/frontier.py
index 02c2dbb..1160f3c 100644
--- a/brozzler/frontier.py
+++ b/brozzler/frontier.py
@@ -197,12 +197,13 @@ class RethinkDbFrontier:
         else:
             raise brozzler.NothingToClaim
 
-    def enforce_time_limit(self, site):
+    def enforce_time_limit(self, site, session_time=0):
         '''
         Raises `brozzler.ReachedTimeLimit` if appropriate.
         '''
-        if (site.time_limit and site.time_limit > 0
-                and (site.active_brozzling_time or 0) > site.time_limit):
+        if (site.time_limit
+                and site.time_limit > 0
+                and (site.active_brozzling_time or 0) + session_time > site.time_limit):
             self.logger.debug(
                     "site FINISHED_TIME_LIMIT! time_limit=%s "
                     "active_brozzling_time=%s %s", site.time_limit,
diff --git a/brozzler/worker.py b/brozzler/worker.py
index 85feafc..872a3f3 100644
--- a/brozzler/worker.py
+++ b/brozzler/worker.py
@@ -515,7 +515,7 @@ class BrozzlerWorker:
                     self._proxy_for(site), site)
             while time.time() - start < self.SITE_SESSION_MINUTES * 60:
                 site.refresh()
-                self._frontier.enforce_time_limit(site)
+                self._frontier.enforce_time_limit(site, time.time() - start)
                 self._frontier.honor_stop_request(site)
                 page = self._frontier.claim_page(site, "%s:%s" % (
                     socket.gethostname(), browser.chrome.port))