diff --git a/brozzler/frontier.py b/brozzler/frontier.py
index 5272a88..3826abf 100644
--- a/brozzler/frontier.py
+++ b/brozzler/frontier.py
@@ -152,17 +152,15 @@ class RethinkDbFrontier:
         else:
             raise brozzler.NothingToClaim
 
-    def enforce_time_limit(self, site, session_time=0):
+    def enforce_time_limit(self, site):
         '''
         Raises `brozzler.ReachedTimeLimit` if appropriate.
         '''
-        if (site.time_limit
-                and site.time_limit > 0
-                and (site.active_brozzling_time or 0) + session_time > site.time_limit):
+        if (site.time_limit and site.time_limit > 0
+                and site.elapsed() > site.time_limit):
             self.logger.debug(
                     "site FINISHED_TIME_LIMIT! time_limit=%s "
-                    "active_brozzling_time=%s %s", site.time_limit,
-                    site.active_brozzling_time, site)
+                    "elapsed=%s %s", site.time_limit, site.elapsed(), site)
             raise brozzler.ReachedTimeLimit
 
     def claim_page(self, site, worker_id):
diff --git a/brozzler/worker.py b/brozzler/worker.py
index 4aad2a3..8121770 100644
--- a/brozzler/worker.py
+++ b/brozzler/worker.py
@@ -345,7 +345,7 @@ class BrozzlerWorker:
                     self._proxy_for(site), site)
             while time.time() - start < self.SITE_SESSION_MINUTES * 60:
                 site.refresh()
-                self._frontier.enforce_time_limit(site, time.time() - start)
+                self._frontier.enforce_time_limit(site)
                 self._frontier.honor_stop_request(site)
                 page = self._frontier.claim_page(site, "%s:%s" % (
                     socket.gethostname(), browser.chrome.port))
diff --git a/tests/test_frontier.py b/tests/test_frontier.py
index d66773e..800da1e 100644
--- a/tests/test_frontier.py
+++ b/tests/test_frontier.py
@@ -21,6 +21,7 @@ limitations under the License.
 import argparse
 import datetime
 import logging
+import time
 
 import doublethink
 import pytest
@@ -375,15 +376,10 @@ def test_time_limit():
     assert site.starts_and_stops[1]['start']
     assert site.starts_and_stops[1]['stop'] is None
 
-    # time limit not reached yet
+    # no time limit set
     frontier.enforce_time_limit(site)
 
-    assert site.status == 'ACTIVE'
-    assert len(site.starts_and_stops) == 2
-    assert site.starts_and_stops[1]['start']
-    assert site.starts_and_stops[1]['stop'] is None
-
-    site.time_limit = 0.1
+    site.time_limit = 10
     site.claimed = True
     site.save()
 
@@ -394,19 +390,11 @@ def test_time_limit():
     assert site.starts_and_stops[1]['start']
     assert site.starts_and_stops[1]['stop'] is None
 
-    site.active_brozzling_time = 0.2  # this is why the time limit will be hit
+    site.time_limit = 0.1
+    time.sleep(0.1)
 
-    try:
+    with pytest.raises(brozzler.ReachedTimeLimit):
         frontier.enforce_time_limit(site)
-    except brozzler.ReachedTimeLimit:
-        frontier.finished(site, 'FINISHED_TIME_LIMIT')
-
-    assert site.status == 'FINISHED_TIME_LIMIT'
-    assert not site.claimed
-    assert len(site.starts_and_stops) == 2
-    assert site.starts_and_stops[1]['start']
-    assert site.starts_and_stops[1]['stop']
-    assert site.starts_and_stops[1]['stop'] > site.starts_and_stops[0]['start']
 
 def test_field_defaults():
     rr = doublethink.Rethinker('localhost', db='ignoreme')