Tuch has six points (four goals, two assists) in six games since returning from a lower-body injury that forced him to miss eight games.
"I really pushed hard to get back, and sometimes that comes with a little bit more inconsistency and a feeling out process getting back into it," Tuch said. "Jumping back in wasn't the easiest, but I thought my teammates really helped me out just pushing and getting back to the grind. And having fun too; I thought tonight we had a lot more fun than we've had, especially since we won. Just playing our game and playing fast."
Dylan Cozens and Jack Quinn each had a goal and an assist, and JJ Peterka had two assists for the Sabres (34-31-6), who were 0-3-1 in their previous four games. Ukko-Pekka Luukkonen made 27 saves.
Buffalo moved within six points of the Pittsburgh Penguins for the second wild card into the Stanley Cup Playoffs from the Eastern Conference. The Sabres will play again Saturday at the New York Islanders.
"That was big for us. Obviously, we've been struggling lately," Cozens said. "To come out and get the first one and the first few, it was big for us. Obviously, we don't quite like how we ended it. We let them back in it, but we got the win. That's what matters."