Winnipeg pulled one back in the second on a man-advantage of their own, as Nikolaj Ehlers put a one-timer past Robin Lehner from the same spot that Seabrook struck from in the first.
The Jets evened the game in the third as Andrew Copp found the back of the net backdoor at 11:44 to make it a 2-2 game.
In overtime, Mark Scheifele scored the game winner on a one-timer from the top of the near circle 47 seconds into the extra frame to seal the 3-2 overtime win for Winnipeg.