Eriksson Ek pushed the puck past the goal line during a goalmouth scramble before the official blew the play dead.
The play stood after two video reviews, one necessitated by the NHL, the other by a challenge for interference by Jets Head Coach Paul Maurice.
The goal marked the second in just 26 seconds which allowed the Wild to remain undefeated against Winnipeg this season as Jason Zucker snapped a wrister past Hellebuyck seconds earlier.
The win was their 4th in a row for the Wild. Brad Hunt scored the other Minnesota goal.
Winnipeg slumped to 37-22-4 and are 3-6-2 in their last eleven contests.
Patrik Laine had a goal and an assist for the Jets.
Mark Scheifele had his 31st of the season for Winnipeg.
Connor Hellebuyck turned aside 37 shots for the Jets.
Devan Dubnyk made 30 saves for Minnesota.
Mark Scheifele scored on the power play 8:53 into the opening period to get things rolling for the Jets.
The goal was his 31st of the season.
With Patrik Laine off for hooking, Brad Hunt scored on the power play at 11:50 of the second period, getting a puck on net through a screen which eluded Hellebuyck.
The goal was his 5th of the season.
Laine redeemed himself just 14 seconds later, getting his stick on a Ben Chiarot shot after a nice solo effort by the Jet defenceman.
Chiarot took control of the puck at the blue line before skating in on his backhand and snapped a shot on goal which Laine re-directed past Dubnyk.
The goal was his 29th of the season and fourth in his last three games.
Jason Zucker scored with 1:27 left in the third period, snapping a Ryan Donato feed past Hellebuyck to tie the game at two. The goal was his 16th of the season.
SHOTS-MINNESOTA 40 WINNIPEG 32
NOTES-Newly acquried C Kevin Hayes and D Nathan Beaulieau made their debuts for Winnipeg in the game.