diff --git a/Lib/test/test_hashlib.py b/Lib/test/test_hashlib.py
index daf6e3862a24f7..369bbde6e78b6d 100644
--- a/Lib/test/test_hashlib.py
+++ b/Lib/test/test_hashlib.py
@@ -379,6 +379,11 @@ def check(self, name, data, hexdigest, shake=False, **kwargs):
 
     def check_file_digest(self, name, data, hexdigest):
         hexdigest = hexdigest.lower()
+        try:
+            hashlib.new(name)
+        except ValueError:
+            # skip, algorithm is blocked by security policy.
+            return
         digests = [name]
         digests.extend(self.constructors_to_test[name])