"We'll see how he responds tomorrow," Gulutzan said.
Fistric left the game early in the second period with the injury.
Stars forward Jamie Benn was skaken up a couple of times in the game, but Gulutzan said Benn appeared to be fine. Benn took an elbow to the head in the second period from Coyotes captain Shane Doan, but returned to the game.
In overtime, he went hard into the boards during a collision with Coyotes forward Antoine Vermette, but was back on the bench at the end of the game and took part in the shootout.
"He's a tough, tough kid. I haven checked on him. I don't know if it was his wind of whatever. They just told he would be back for the shootout," Gulutzan said. "I didn't see the hit (in overtime). I am assuming everything is fine."