Montoya was busiest in the second period, stopping 12 shots for the Jets, who notched a third straight victory.
Keaton Ellerby and Jacob Trouba and Anthony Peluso accounted for the Jets' goals, with Peluso's an empty-netter.
Jhonas Enroth stopped 23-of-25 shots for the Sabres, who completed December with a 5-5-2 mark.
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