Barring Levi channeling Hasek, it'd be a 1 sided Sabres series that goes 4-0. In that rare chance Levi stands on his head and plays otherworldly, I'll give them 1 win which still has the Sabres winning 4-1.
(Effectively the only position that could theoretically give the AHL team any prayer at winning a game much less a series falls upon the goalie who could be nearly NHL caliber and or a young up incomer)