diff --git a/fastapi_jwt/jwt_backends/authlib_backend.py b/fastapi_jwt/jwt_backends/authlib_backend.py
index 780992e..522d6d2 100644
--- a/fastapi_jwt/jwt_backends/authlib_backend.py
+++ b/fastapi_jwt/jwt_backends/authlib_backend.py
@@ -43,5 +43,6 @@ def decode(self, token: str, secret_key: str) -> Optional[Dict[str, Any]]:
             authlib_jose_errors.InvalidClaimError,
             authlib_jose_errors.InvalidTokenError,
             authlib_jose_errors.DecodeError,
+            authlib_jose_errors.BadSignatureError,
         ) as e:
             raise BackendException(f"Invalid token: {e}")