diff --git a/mastodon/authentication.py b/mastodon/authentication.py
index 2074206..4c96061 100644
--- a/mastodon/authentication.py
+++ b/mastodon/authentication.py
@@ -321,7 +321,7 @@ class Mastodon(Internals):
         Returns the access token as a string.
         """
         # Is the version > 4.4.0? Throw on trying to log in with password with a more informative message than the API error
-        if self.mastodon_major >= 4 and self.mastodon_minor >= 4:
+        if self.mastodon_major >= 4 and self.mastodon_minor >= 4 or self.mastodon_major > 4:
             raise MastodonIllegalArgumentError('Password flow is no longer supported in Mastodon 4.4.0 and later.')
         
         if username is not None and password is not None: