diff --git a/Lib/test/test_hashlib.py b/Lib/test/test_hashlib.py
index 56d2f70021235f..8eb0ac230bc770 100644
--- a/Lib/test/test_hashlib.py
+++ b/Lib/test/test_hashlib.py
@@ -264,7 +264,10 @@ def test_clinic_signature(self):
hashlib.new(digest_name, b'')
hashlib.new(digest_name, data=b'')
hashlib.new(digest_name, string=b'')
- if self._hashlib:
+ # Make sure that _hashlib contains the constructor
+ # to test when using a combination of libcrypto and
+ # interned hash implementations.
+ if self._hashlib and digest_name in self._hashlib._constructors:
self._hashlib.new(digest_name, b'')
self._hashlib.new(digest_name, data=b'')
self._hashlib.new(digest_name, string=b'')
@@ -316,7 +319,8 @@ def test_clinic_signature_errors(self):
with self.subTest(digest_name, args=args, kwds=kwds):
with self.assertRaisesRegex(TypeError, errmsg):
hashlib.new(digest_name, *args, **kwds)
- if self._hashlib:
+ if (self._hashlib and
+ digest_name in self._hashlib._constructors):
with self.assertRaisesRegex(TypeError, errmsg):
self._hashlib.new(digest_name, *args, **kwds)
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