diff --git a/twine/package.py b/twine/package.py
index e4072af1..d67be270 100644
--- a/twine/package.py
+++ b/twine/package.py
@@ -266,7 +266,7 @@ def __init__(self, filename: str) -> None:
         self._blake_hasher = None
         try:
             self._blake_hasher = hashlib.blake2b(digest_size=256 // 8)
-        except (ValueError, TypeError):
+        except (ValueError, TypeError, AttributeError):
             # FIPS mode disables blake2
             pass