Marc-Andre Fleury made 21 saves for Vegas, the No. 2 seed.
"You're not going to play for 60 minutes without giving up something. … That's just the way it goes," Golden Knights coach Pete DeBoer said. "We're pushing to win that game, not to not get scored on. That's our mindset and I think it's worked well for us when you look at our record this year."
Game 7 will be at Vegas on Friday (9 p.m. ET; NBCSN, SN, CBC, TVAS). The Wild are 3-0 in Game 7s, and the Golden Knights are 1-1.
"We believe in ourselves. We believe in our team," Vegas captain Mark Stone said. "We have one game in our home rink to move on. It's that simple."
Ryan Hartman gave the Wild a 1-0 lead with a one-timer on a 2-on-1 at 4:21 of the third period.
"It's an elimination game, and those type of games are just a game of mistakes," Hartman said. "It's who's going to budge first. You've got two teams, one fighting for their lives more than the other, but they're playing just as hard. They don't want to have to play another game and we're fighting for our lives. Like I said, a game of mistakes, and when you get your opportunities, you have to put it in the net."