Morrow, who has 19 goals and 26 assists this season, has what the Stars described as a foot contusion and will get a break with the team out of the playoff hunt.
Also, Matt Climie will get his first NHL start of this season in goal and the fourth of his career.
Marty Turco has a career record of 15-5-1 with a 2.21 goals against average vs. Chicago, but he's allowed seven goals in two games against the Blackhawks this season.
The Stars have been eliminated from the Western Conference playoff race. Chicago, meanwhile, already have wrapped up the Central Division title and is seeking its first 50-win season in the team's 84-year history.