Bickell was injured in Game 2 when he was hit by a skate. He missed Game 3 but his return helped the Blackhawks win three straight to even the series.
The 6-foot-4, 223-pound Bickell scored a goal in Sunday night's 4-3 overtime win and flattened Canucks defenseman Kevin Bieska with a hard hit. In five games this playoffs, Bickell has two goals and two assists.
Team physician Dr. Michael Terry said full recovery could take six to eight weeks.
Bickell played in 78 games during the regular season with 17 goals and 20 assists.