diff --git a/Lib/test/test_posix.py b/Lib/test/test_posix.py
index d2cb1c9..11180b7 100644
--- a/Lib/test/test_posix.py
+++ b/Lib/test/test_posix.py
@@ -23,6 +23,18 @@
 requires_32b = unittest.skipUnless(sys.maxsize < 2**32,
         'test is only meaningful on 32-bit builds')
 
+def _supports_sched():
+    if not hasattr(posix, 'sched_getscheduler'):
+        return False
+    try:
+        posix.sched_getscheduler(0)
+    except OSError as e:
+        if e.errno == errno.ENOSYS:
+            return False
+    return True
+
+requires_sched = unittest.skipUnless(_supports_sched(), 'requires POSIX scheduler API')
+
 class PosixTester(unittest.TestCase):
 
     def setUp(self):
@@ -1276,7 +1288,7 @@
             self.assertRaises(OSError, posix.sched_get_priority_min, -23)
             self.assertRaises(OSError, posix.sched_get_priority_max, -23)
 
-    @unittest.skipUnless(hasattr(posix, 'sched_setscheduler'), "can't change scheduler")
+    @requires_sched
     def test_get_and_set_scheduler_and_param(self):
         possible_schedulers = [sched for name, sched in posix.__dict__.items()
                                if name.startswith("SCHED_")]