diff --git a/Lib/test/datetimetester.py b/Lib/test/datetimetester.py
index e208a29813eed3..efea40d3f4ff1f 100644
--- a/Lib/test/datetimetester.py
+++ b/Lib/test/datetimetester.py
@@ -5856,6 +5856,9 @@ def test_gaps(self):
                 ldt = tz.fromutc(udt.replace(tzinfo=tz))
                 self.assertEqual(ldt.fold, 0)
 
+    @unittest.skipUnless(
+        hasattr(time, "tzset"), "time module has no attribute tzset"
+    )
     def test_system_transitions(self):
         if ('Riyadh8' in self.zonename or
             # From tzdata NEWS file:
diff --git a/Lib/test/test_strptime.py b/Lib/test/test_strptime.py
index 55a0f426731a5d..e5f75b7aab9aa5 100644
--- a/Lib/test/test_strptime.py
+++ b/Lib/test/test_strptime.py
@@ -390,6 +390,9 @@ def test_timezone(self):
                             "LocaleTime().timezone has duplicate values and "
                              "time.daylight but timezone value not set to -1")
 
+    @unittest.skipUnless(
+        hasattr(time, "tzset"), "time module has no attribute tzset"
+        )
     def test_bad_timezone(self):
         # Explicitly test possibility of bad timezone;
         # when time.tzname[0] == time.tzname[1] and time.daylight
diff --git a/Lib/test/test_time.py b/Lib/test/test_time.py
index 57011d158cd037..faac639613a5c2 100644
--- a/Lib/test/test_time.py
+++ b/Lib/test/test_time.py
@@ -561,8 +561,9 @@ def test_get_clock_info(self):
             'perf_counter',
             'process_time',
             'time',
-            'thread_time',
         ]
+        if hasattr(time, 'thread_time'):
+            clocks.append('thread_time')
 
         for name in clocks:
             with self.subTest(name=name):
diff --git a/Modules/timemodule.c b/Modules/timemodule.c
index 5b2d9b768ddd6f..7475ef344b72b2 100644
--- a/Modules/timemodule.c
+++ b/Modules/timemodule.c
@@ -1479,7 +1479,9 @@ _PyTime_GetThreadTimeWithInfo(_PyTime_t *tp, _Py_clock_info_t *info)
     return 0;
 }
 
-#elif defined(HAVE_CLOCK_GETTIME) && defined(CLOCK_PROCESS_CPUTIME_ID)
+#elif defined(HAVE_CLOCK_GETTIME) && \
+      defined(CLOCK_PROCESS_CPUTIME_ID) && \
+      !defined(__EMSCRIPTEN__)
 #define HAVE_THREAD_TIME
 
 #if defined(__APPLE__) && defined(__has_attribute) && __has_attribute(availability)