diff --git a/Lib/test/test_normalization.py b/Lib/test/test_normalization.py
index 5b590e1af34..c6f8c93119f 100644
--- a/Lib/test/test_normalization.py
+++ b/Lib/test/test_normalization.py
@@ -36,15 +36,20 @@ def unistr(data):
 
 class NormalizationTest(unittest.TestCase):
     def test_main(self):
-        part = None
-        part1_data = {}
         # Hit the exception early
         try:
             testdata = open_urlresource(TESTDATAURL, encoding="utf-8",
                                         check=check_version)
         except (OSError, HTTPException):
-            self.skipTest("Could not retrieve " + TESTDATAURL)
-        self.addCleanup(testdata.close)
+            self.fail(f"Could not retrieve {TESTDATAURL}")
+
+        with testdata:
+            self.run_normalization_tests(testdata)
+
+    def run_normalization_tests(self, testdata):
+        part = None
+        part1_data = {}
+
         for line in testdata:
             if '#' in line:
                 line = line.split('#')[0]