"Our goaltender won the hockey game for us," Minnesota coach Dean Evason said. "Goaltenders come up big, and obviously 'Flower' was huge for us here tonight."
Marcus Foligno had a goal and an assist, and Oskar Sundqvist and Jake Middleton each had two assists for the Wild (37-21-7), who are 9-0-2 during their point streak.
Minnesota moved into a tie with the Dallas Stars for first place in the Central Division. Dallas has one game in hand.
"I thought the guys defended well and covered the middle of the slot a lot and not give them too many Grade A's," Fleury said. "They blocked some shots and cleared pucks away, and obviously some nice goals up front to get the lead there."
Logan Stanley and Nino Niederreiter scored, and Connor Hellebuyck made 19 saves for the Jets (36-26-3), who have lost seven of eight (1-5-2).
Winnipeg holds the second wild card into the Stanley Cup Playoffs from the Western Conference, four points ahead of the Calgary Flames.
"It's one of the best games we've played all year," Jets coach Rick Bowness said. "We dominated the game, 82 shot attempts. I don't know if we've done that this year. Lots of scoring chances. Fleury was outstanding. A lot of loose pucks we couldn't get our sticks to, but that's one of the best games we've played all year. If we play like that, we'll take it. Some nights you just don't get any puck luck, and right now we're not getting any puck luck. But I'll take that effort.
"We're still sitting in a playoff spot. We just have to play like that. We know what we're up against. We haven't lost that eighth spot right now, so we have to fight to keep it."