diff --git a/src/wormhole_transit_relay/test/test_stats.py b/src/wormhole_transit_relay/test/test_stats.py
index ae37790..f9433ef 100644
--- a/src/wormhole_transit_relay/test/test_stats.py
+++ b/src/wormhole_transit_relay/test/test_stats.py
@@ -12,14 +12,15 @@ class DB(unittest.TestCase):
         return db
 
     def test_db(self):
+        T = 1519075308.0
         d = self.mktemp()
         os.mkdir(d)
         usage_db = os.path.join(d, "usage.sqlite")
-        with mock.patch("time.time", return_value=456.0):
+        with mock.patch("time.time", return_value=T+0):
             t = Transit(blur_usage=None, log_file=None, usage_db=usage_db)
         db = self.open_db(usage_db)
 
-        with mock.patch("time.time", return_value=457.0):
+        with mock.patch("time.time", return_value=T+1):
             t.recordUsage(started=123, result="happy", total_bytes=100,
                           total_time=10, waiting_time=2)
         self.assertEqual(db.execute("SELECT * FROM `usage`").fetchall(),
@@ -27,11 +28,11 @@ class DB(unittest.TestCase):
                                total_bytes=100, total_time=10, waiting_time=2),
                           ])
         self.assertEqual(db.execute("SELECT * FROM `current`").fetchone(),
-                         dict(rebooted=456, updated=457,
+                         dict(rebooted=T+0, updated=T+1,
                               incomplete_bytes=0,
                               waiting=0, connected=0))
 
-        with mock.patch("time.time", return_value=458.0):
+        with mock.patch("time.time", return_value=T+2):
             t.recordUsage(started=150, result="errory", total_bytes=200,
                           total_time=11, waiting_time=3)
         self.assertEqual(db.execute("SELECT * FROM `usage`").fetchall(),
@@ -41,14 +42,14 @@ class DB(unittest.TestCase):
                                total_bytes=200, total_time=11, waiting_time=3),
                           ])
         self.assertEqual(db.execute("SELECT * FROM `current`").fetchone(),
-                         dict(rebooted=456, updated=458,
+                         dict(rebooted=T+0, updated=T+2,
                               incomplete_bytes=0,
                               waiting=0, connected=0))
 
-        with mock.patch("time.time", return_value=459.0):
+        with mock.patch("time.time", return_value=T+3):
             t.timerUpdateStats()
         self.assertEqual(db.execute("SELECT * FROM `current`").fetchone(),
-                         dict(rebooted=456, updated=459,
+                         dict(rebooted=T+0, updated=T+3,
                               incomplete_bytes=0,
                               waiting=0, connected=0))