diff --git a/Lib/test/test_io.py b/Lib/test/test_io.py
index cc16804fe21829..fc56c1d5111351 100644
--- a/Lib/test/test_io.py
+++ b/Lib/test/test_io.py
@@ -1548,8 +1548,8 @@ def test_read_all(self):
 
         self.assertEqual(b"abcdefg", bufio.read())
 
-    @support.requires_resource('cpu')
     @threading_helper.requires_working_threading()
+    @support.requires_resource('cpu')
     def test_threads(self):
         try:
             # Write out many bytes with exactly the same number of 0's,
@@ -1937,8 +1937,8 @@ def test_truncate_after_write(self):
                 f.truncate()
                 self.assertEqual(f.tell(), buffer_size + 2)
 
-    @support.requires_resource('cpu')
     @threading_helper.requires_working_threading()
+    @support.requires_resource('cpu')
     def test_threads(self):
         try:
             # Write out many bytes from many threads and test they were
diff --git a/Lib/test/test_site.py b/Lib/test/test_site.py
index 9e701fd847acdf..20a96169e8be4e 100644
--- a/Lib/test/test_site.py
+++ b/Lib/test/test_site.py
@@ -465,10 +465,10 @@ def test_sitecustomize_executed(self):
             else:
                 self.fail("sitecustomize not imported automatically")
 
-    @test.support.requires_resource('network')
-    @test.support.system_must_validate_cert
     @unittest.skipUnless(hasattr(urllib.request, "HTTPSHandler"),
                          'need SSL support to download license')
+    @test.support.requires_resource('network')
+    @test.support.system_must_validate_cert
     def test_license_exists_at_url(self):
         # This test is a bit fragile since it depends on the format of the
         # string displayed by license in the absence of a LICENSE file.