diff --git a/Lib/test/test_os.py b/Lib/test/test_os.py
index f3d2ceb263f6f4..8aac92934f6ac0 100644
--- a/Lib/test/test_os.py
+++ b/Lib/test/test_os.py
@@ -805,14 +805,28 @@ def _test_utime(self, set_time, filename=None):
         set_time(filename, (atime_ns, mtime_ns))
         st = os.stat(filename)
 
-        if support_subsecond:
-            self.assertAlmostEqual(st.st_atime, atime_ns * 1e-9, delta=1e-6)
-            self.assertAlmostEqual(st.st_mtime, mtime_ns * 1e-9, delta=1e-6)
+        if support.is_emscripten:
+            # Emscripten timestamps are roundtripped through a 53 bit integer of
+            # nanoseconds. If we want to represent ~50 years which is an 11
+            # digits number of seconds:
+            # 2*log10(60) + log10(24) + log10(365) + log10(60) + log10(50)
+            # is about 11. Because 53 * log10(2) is about 16, we only have 5
+            # digits worth of sub-second precision.
+            # Some day it would be good to fix this upstream.
+            delta=1e-5
+            self.assertAlmostEqual(st.st_atime, atime_ns * 1e-9, delta=1e-5)
+            self.assertAlmostEqual(st.st_mtime, mtime_ns * 1e-9, delta=1e-5)
+            self.assertAlmostEqual(st.st_atime_ns, atime_ns, delta=1e9 * 1e-5)
+            self.assertAlmostEqual(st.st_mtime_ns, mtime_ns, delta=1e9 * 1e-5)
         else:
-            self.assertEqual(st.st_atime, atime_ns * 1e-9)
-            self.assertEqual(st.st_mtime, mtime_ns * 1e-9)
-        self.assertEqual(st.st_atime_ns, atime_ns)
-        self.assertEqual(st.st_mtime_ns, mtime_ns)
+            if support_subsecond:
+                self.assertAlmostEqual(st.st_atime, atime_ns * 1e-9, delta=1e-6)
+                self.assertAlmostEqual(st.st_mtime, mtime_ns * 1e-9, delta=1e-6)
+            else:
+                self.assertEqual(st.st_atime, atime_ns * 1e-9)
+                self.assertEqual(st.st_mtime, mtime_ns * 1e-9)
+            self.assertEqual(st.st_atime_ns, atime_ns)
+            self.assertEqual(st.st_mtime_ns, mtime_ns)
 
     def test_utime(self):
         def set_time(filename, ns):
diff --git a/Lib/test/test_time.py b/Lib/test/test_time.py
index d368f08b610870..92398300f26577 100644
--- a/Lib/test/test_time.py
+++ b/Lib/test/test_time.py
@@ -116,6 +116,7 @@ def test_clock_monotonic(self):
                          'need time.pthread_getcpuclockid()')
     @unittest.skipUnless(hasattr(time, 'clock_gettime'),
                          'need time.clock_gettime()')
+    @unittest.skipIf(support.is_emscripten, "Fails to find clock")
     def test_pthread_getcpuclockid(self):
         clk_id = time.pthread_getcpuclockid(threading.get_ident())
         self.assertTrue(type(clk_id) is int)
@@ -539,6 +540,9 @@ def test_perf_counter(self):
     @unittest.skipIf(
         support.is_wasi, "process_time not available on WASI"
     )
+    @unittest.skipIf(
+        support.is_emscripten, "process_time present but doesn't exclude sleep"
+    )
     def test_process_time(self):
         # process_time() should not include time spend during a sleep
         start = time.process_time()