Hutton made 41 saves for the Sabres (12-10-5), who are 2-4-2 in their past eight games.
"It was a strong game from his side. I thought both goalies played very, very well," Sabres coach Ralph Krueger said. "We needed to take more opportunities on the chances we had. I thought even though shot clock doesn't show it, I thought we dominated in the chances here today 5-on-5 and took too long to get that first one."
Nylander gave Toronto a 1-0 lead at 5:30 of the second period when he took a pass from Auston Matthews, skated toward the net and scored with a backhand over Hutton's blocker on the power play.
"I was a little lucky, I think it hit his stick and deflected into his arm and up, but it was nice to get one on the power play for sure," Nylander said. "I think they thought I was going to pass it backdoor, so I had some room there to go to the net."