diff --git a/Lib/test/test_import.py b/Lib/test/test_import.py
index 9a1fb678c6124c..9b1d2615e9ef64 100644
--- a/Lib/test/test_import.py
+++ b/Lib/test/test_import.py
@@ -548,7 +548,7 @@ def _test_UNC_path(self):
         try:
             os.listdir(unc)
         except OSError as e:
-            if e.errno in (errno.EPERM, errno.EACCES):
+            if e.errno in (errno.EPERM, errno.EACCES, errno.ENOENT):
                 # See issue #15338
                 self.skipTest("cannot access administrative share %r" % (unc,))
             raise
diff --git a/Lib/test/test_tcl.py b/Lib/test/test_tcl.py
index 4c2e8d5200c480..921d094d5a78fe 100644
--- a/Lib/test/test_tcl.py
+++ b/Lib/test/test_tcl.py
@@ -256,7 +256,7 @@ def testLoadWithUNC(self):
             try:
                 p = Popen(cmd, stdout=PIPE, stderr=PIPE)
             except WindowsError as e:
-                if e.winerror == 5:
+                if e.winerror == 5 or e.winerror == 2:
                     self.skipTest('Not permitted to start the child process')
                 else:
                     raise