The Rangers have not won successive games since they won three straight from Dec. 15-19.
New York defeated Buffalo 3-2 in overtime in the Winter Classic, played at Citi Field, home of the New York Mets, on New Year's Day.
The Rangers are 2-4-0 since winning the outdoor game, but are coming off a 5-1 win against the Philadelphia Flyers on Tuesday. It was New York's first victory in regulation since a 4-1 win against the Anaheim Ducks on Dec. 19.
The Sabres are looking for their second win in seven games; they're 1-4-1 in their past six and 3-7-3 in their past 13.