Kessel is tied with Keith Yandle and can pass him when he plays his first shift for the Golden Knights at the San Jose Sharks on Tuesday.
"I've played a lot of games, and you always want to win," Kessel said. "It's better when you win and if we can do it tomorrow, it'd be great. … I always want to play. There's games you're going to miss throughout your career, but I've been fortunate so far."
Chandler Stephenson scored for the third straight game, and Logan Thompson made 22 saves for Vegas (5-2-0).
"It's five good periods of the six we played," Stephenson said. "We gave ourselves a chance to win. It was just bearing down on our chances. It's just kind of showing our resiliency and that 'we're not going to lose this one or let this one slip' kind of mentality. It's what we want to have and it's what we had tonight."