BUFFALO -- Ukko-Pekka Luukkonen made 21 saves for the Buffalo Sabres in a 4-0 win against the New York Islanders at KeyBank Center on Thursday.

Luukkonen has five shutouts this season, which is tied with Thatcher Demko of the Vancouver Canucks for second-most in the NHL.

“It means a lot,” said Luukkonen, who did not have a shutout entering this season. “Kind of finding my footing in the net and kind of proving to myself, too, that I’m an NHL-caliber goalie and I can handle the starts. And also, overall, just how well we play as a team. I always say it feels good to play on this team, play with these guys. I’ve known a lot of them a long time now, so it means a lot to me that we kind of get the success kind of on these games we deserve.”

NYI@BUF: Luukkonen records 5th shutout in win over Isanders

Zach Benson scored two goals for the first time in the NHL, and Owen Power had two assists for the Sabres (32-30-5), who have won three in a row and are 8-3-1 in their past 12 games.

“I think we're starting to find our game, our full 60,” Buffalo center Dylan Cozens said. “And I think we have confidence. We know we can beat any team. We know that every game matters a lot right now, and we're kind of buckling down and doing whatever it takes.”

Ilya Sorokin made 33 saves for the Islanders (29-22-14), who have been shut out in consecutive games after winning their previous six.

“We didn’t have a good one tonight, that’s for sure,” New York coach Patrick Roy said. “We had a few moments where if we connected we could have had generated more offense, and we did not. It was not a good performance by us. ... I thought we were flat tonight. We didn’t play a good game.”

NYI@BUF: Sorokin makes incredible stop on 2-on-1 rush

Victor Olofsson gave Buffalo a 1-0 lead on a power play at 4:28 of the second period. JJ Peterka sent a diagonal pass to Olofsson below the right circle, where he scored with a wrist shot that squeaked between Sorokin’s arm and the near post.

Cozens made it 2-0 at 8:15, scoring from the left hash marks off the rebound of Connor Clifton's shot.

Benson pushed it to 3-0 at 9:41 when he redirected Henri Jokiharju’s slap shot from the blue line past a screened Sorokin. The Islanders challenged the play for goaltender interference, but the call stood after a video review.

“My mindset coming in every game is just compete,” Benson said. “Once you compete your skill takes over. You know, I thought as a line me, [Cozens] and [Jordan Greenway] have kind of been doing that the last couple games. And you know, we’ve just got to keep going here.”

NYI@BUF: Benson tips it between the pipes from the slot

Benson scored into an empty net at 15:06 of the third period for the 4-0 final.

“They obviously came out hard,” New York forward Bo Horvat said. “Got to hand it to them, they played a good game and took it to us right off the hop. [Sorokin] was unbelievable tonight. (It) could have been a lot worse. We’ve got to be a lot better than that if we’re going to win hockey games.”

NOTES: The Islanders were shut out in consecutive games for the first time since Feb. 13-15, 2020. … Luukkonen is the first Sabres goalie with at least five shutouts in a season since Ryan Miller had six in 2011-12. … Luukkonen has 15 wins since Jan. 1, which is tied for third-most in the NHL in that span. … Benson is the third player in Buffalo history to have a multigoal game at the age of 18 or younger, joining Pierre Turgeon and Phil Housley. … The Sabres have won seven consecutive home games against the Islanders for the first time in their history. … Sabres forward Peyton Krebs played in his 200th NHL game.