Winnipeg took back the lead with 18 seconds left on the clock in the second. Mathieu Perreault stepped out of the penalty box and snuck in behind Murphy, Scheifele hit him with a pass and Perreault went in all alone and scored his third goal in as many games to make it 3-2.
With Crawford on the bench in favour of the extra attacker, Keith slid a pass along the blueline to Erik Gustafasson and his slap shot went through a crowd and tied the game up with just over seven seconds left on the clock.
"We've had enough success in overtime that it's not devastating for us (to give up lead late)," said Maurice.
"Lots of confidence. We've put ourselves in a position with enough wins that you don't have to ride that emotional roller coaster that a game that your hanging onto and you give up a lead late. It doesn't happen to us often and then Scheifele, Wheeler and Morrissey have a good thing going there."
In the extra frame, the deadly trio of Scheifele, Wheeler and Josh Morrissey went to work. Morrissey who was the overtime hero on Thursday night just missed another chance but Crawford made the save. After a battle for the loose puck behind the Chicago goal, Scheifele grabbed the puck came out front and his second of the night and 20th of the season.
"It was good to respond quick after they tied it up late," said Wheeler who ended the night with three assists. "Regardless, we are happy to have the two points."
The Jets have scored 28 goals in the last six meetings with the Blackhawks, including 16 in the three games this season.
Winnipeg returns home to play the Tampa Bay Lightning Sunday night in the Jets' final home game before the Christmas break.