diff --git a/psutil/tests/test_system.py b/psutil/tests/test_system.py
index 6656c19ba..56979c927 100755
--- a/psutil/tests/test_system.py
+++ b/psutil/tests/test_system.py
@@ -385,7 +385,7 @@ def test_cpu_times(self):
             self.assertIsInstance(cp_time, float)
             self.assertGreaterEqual(cp_time, 0.0)
             total += cp_time
-        self.assertAlmostEqual(total, sum(times))
+        self.assertAlmostEqual(total, sum(times), places=6)
         str(times)
         # CPU times are always supposed to increase over time
         # or at least remain the same and that's because time
@@ -424,7 +424,7 @@ def test_per_cpu_times(self):
                 self.assertIsInstance(cp_time, float)
                 self.assertGreaterEqual(cp_time, 0.0)
                 total += cp_time
-            self.assertAlmostEqual(total, sum(times))
+            self.assertAlmostEqual(total, sum(times), places=6)
             str(times)
         self.assertEqual(
             len(psutil.cpu_times(percpu=True)[0]),