Hossa was injured in a collision with teammate Nick Boynton during Monday's practice and had to be helped off the ice. He also missed five games earlier this season with an upper-body injury.
The latest injury to Hossa, who is fourth on the team with 18 points (eight goals, 10 assists), may slow the momentum the Blackhawks built during on a 4-2-0 road trip.
Chicago recalled forward Jeremy Morin from the American Hockey League's Rockford IceHogs to take Hossa's place before Tuesday's home game against St. Louis.