diff --git a/Lib/test/test_os.py b/Lib/test/test_os.py
index 4bf158247fa2ec..71e4feb7ec6598 100644
--- a/Lib/test/test_os.py
+++ b/Lib/test/test_os.py
@@ -4085,9 +4085,14 @@ def test_eventfd_select(self):
 @unittest.skipUnless(hasattr(os, 'timerfd_create'), 'requires os.timerfd_create')
 @support.requires_linux_version(2, 6, 30)
 class TimerfdTests(unittest.TestCase):
-    # Tolerate a difference of 1 ms
-    CLOCK_RES_NS = 1_000_000
-    CLOCK_RES = CLOCK_RES_NS * 1e-9
+    if support.SHORT_TIMEOUT > 30.0:
+        # Tolerate a difference of 10 ms
+        CLOCK_RES_PLACES = 2
+    else:
+        # Tolerate a difference of 1 ms
+        CLOCK_RES_PLACES = 3
+    CLOCK_RES = 10 ** -CLOCK_RES_PLACES
+    CLOCK_RES_NS = 10 ** (9 - CLOCK_RES_PLACES)
 
     def timerfd_create(self, *args, **kwargs):
         fd = os.timerfd_create(*args, **kwargs)
@@ -4109,18 +4114,18 @@ def test_timerfd_initval(self):
 
         # 1st call
         next_expiration, interval2 = os.timerfd_settime(fd, initial=initial_expiration, interval=interval)
-        self.assertAlmostEqual(interval2, 0.0, places=3)
-        self.assertAlmostEqual(next_expiration, 0.0, places=3)
+        self.assertAlmostEqual(interval2, 0.0, places=self.CLOCK_RES_PLACES)
+        self.assertAlmostEqual(next_expiration, 0.0, places=self.CLOCK_RES_PLACES)
 
         # 2nd call
         next_expiration, interval2 = os.timerfd_settime(fd, initial=initial_expiration, interval=interval)
-        self.assertAlmostEqual(interval2, interval, places=3)
-        self.assertAlmostEqual(next_expiration, initial_expiration, places=3)
+        self.assertAlmostEqual(interval2, interval, places=self.CLOCK_RES_PLACES)
+        self.assertAlmostEqual(next_expiration, initial_expiration, places=self.CLOCK_RES_PLACES)
 
         # timerfd_gettime
         next_expiration, interval2 = os.timerfd_gettime(fd)
-        self.assertAlmostEqual(interval2, interval, places=3)
-        self.assertAlmostEqual(next_expiration, initial_expiration, places=3)
+        self.assertAlmostEqual(interval2, interval, places=self.CLOCK_RES_PLACES)
+        self.assertAlmostEqual(next_expiration, initial_expiration, places=self.CLOCK_RES_PLACES)
 
     def test_timerfd_non_blocking(self):
         fd = self.timerfd_create(time.CLOCK_REALTIME, flags=os.TFD_NONBLOCK)
@@ -4174,8 +4179,8 @@ def test_timerfd_interval(self):
 
         # timerfd_gettime
         next_expiration, interval2 = os.timerfd_gettime(fd)
-        self.assertAlmostEqual(interval2, interval, places=3)
-        self.assertAlmostEqual(next_expiration, initial_expiration, places=3)
+        self.assertAlmostEqual(interval2, interval, places=self.CLOCK_RES_PLACES)
+        self.assertAlmostEqual(next_expiration, initial_expiration, places=self.CLOCK_RES_PLACES)
 
         count = 3
         t = time.perf_counter()
@@ -4206,8 +4211,8 @@ def test_timerfd_TFD_TIMER_ABSTIME(self):
         # timerfd_gettime
         # Note: timerfd_gettime returns relative values even if TFD_TIMER_ABSTIME is specified.
         next_expiration, interval2 = os.timerfd_gettime(fd)
-        self.assertAlmostEqual(interval2, interval, places=3)
-        self.assertAlmostEqual(next_expiration, offset, places=3)
+        self.assertAlmostEqual(interval2, interval, places=self.CLOCK_RES_PLACES)
+        self.assertAlmostEqual(next_expiration, offset, places=self.CLOCK_RES_PLACES)
 
         t = time.perf_counter()
         count_signaled = self.read_count_signaled(fd)