Kris Versteeg could miss the start of the second round of the Stanley Cup Playoffs.
Quenneville also said he believes the injury is not serious.
Versteeg had one goal in six games in the first round against the Nashville Predators. The forward played left wing on the second line with center Brad Richards and winger Patrick Kane. During practices this week, Bryan Bickell has occupied Versteeg's spot on the second line, while Teuvo Teravainen has moved to the third line.
The Blackhawks open their second-round matchup against the Minnesota Wild on Friday night at the United Center.