Backup goalie Cam Talbot stopped 25-of-26 shots to earn the win.
Joffrey Lupul scored for the Maple Leafs, who were coming off a victory over Detroit in Wednesday's NHL Winter Classic at Michigan Stadium.
Jonathan Bernier allowed five goals on 32 shots before being lifted in the second period.
James Reimer turned aside 16-of-18 shots the rest of the way.
Millions of Getty images now available for free via embed tool
NBC reportedly holds celebs hostage to Jimmy Fallon's show