"I thought we had a bit of a slow start," Little said. "I thought they came out hungry and controlled a lot of the play early in the game and got that goal right away. I thought we did a good job in the second and the third battling back and getting our chances and making it a close game."
Connor Hellebuyck made 31 saves for Winnipeg. It was his first loss in five starts against the Blackhawks this season.
Kane scored at 15:37 of the first period to make it 1-0.
"We did what we had to tonight, scored a late goal, big goal there by [Keith] and couple empty-netters," Kane said. "[It] feels good to beat these guys, especially after they've had the success they've had against us."
Little tied the game 1-1 at 1:43 of the second period, picking up a rebound off Toby Enstrom's point shot and chipping it past Crawford for his 16th goal.
Anisimov made it 2-1 at 12:16, getting his stick on a rebound from Panarin's shot from the top of the circle and directing it past Hellebuyck for his 19th of the season.
Keith scored at 17:01 of the third period to make it 3-1. Hossa scored his 20th shorthanded into an empty net at 18:09.
Lowry made it 4-2 at 18:49 on the power play. Panarin scored into an empty net at 19:44.