Hintz took a hard tumble into the boards in Friday's Game 4 after tripping over Tyler Johnson's stick. He left the game and did not return.
No penalty was called on the play.
Hintz tallied 19 goals and 14 assists in 60 games during the regular season and has added 13 points in 25 playoff contests. Justin Dowling will draw into the lineup in Hintz's absence.
The Stars will also continue to be without forwards Blake Comeau and Radek Faksa for the do-or-die tilt. Additionally, goaltender Ben Bishop remains unfit to play, so Anton Khudobin is starting on back-to-back nights.
Dallas trails 3-1 in the series and needs a victory Saturday to keep its Stanley Cup hopes alive.