Josh Anderson also scored, and Hutson had three assists for the Canadiens (35-30-9), who won 4-2 at Florida on Sunday in the first game of the home-and-home set after losing five in a row. Sam Montembeault made 25 saves.
Montreal is two points ahead of the Columbus Blue Jackets for the second wild card into the Stanley Cup Playoffs from the Eastern Conference. Columbus has one game in hand.
“You get up for these games,” Canadiens defenseman Kaiden Guhle said. “It’s do-or-die for us right now. The pressure is on us, and you want that pressure. And I think we’re thriving with it right now and when the fans are how they are tonight, and the energy that’s in the building and you score with eight seconds left to tie it and win in overtime, it’s pretty unbelievable.
“I’m so proud of this group. There’s no quit in us.”
Niko Mikkola and Mackie Samoskevich scored, and Vitek Vanecek made 18 saves for the Panthers (44-26-4), who had won three of five.
Florida is one point behind the Tampa Bay Lightning for second place in the Atlantic Division, and two behind the Toronto Maple Leafs for first.
“We had given up three shots in the third, that’s pretty good, solid,” Panthers coach Paul Maurice said. “I didn’t think we were sitting back. I thought we were fairly aggressive with our game. And then you get just a bad break, and once every 82 games you’re going to get one of those and we’ll leave it here.”
Anderson gave Montreal a 1-0 lead at 4:43 of the first period when he deflected Kaiden Guhle’s shot from the left point past Vanecek.