Sharp had to be helped to the dressing room with 12:08 remaining in the third period of the Hawks' 3-2 victory over the Colorado Avalanche after being checked into the boards. He appeared to have suffered a shoulder injury and was bent over as he made his way off the ice.
Sharp, who has five goals and 13 assists this season, had five shots on goal before departing.
Shaw suffered an upper-body injury late in the second period and did not return to the game. He scored his sixth goal of the season on a power play in the first period for a 1-0 lead.
Quenneville said the Hawks will know more about Shaw on Thursday but does not believe his injury to be serious.
The Hawks were already playing without forward Marian Hossa, who was a late scratch Wednesday because of an upper-body injury.
"(Hossa) was close to playing," Quenneville said. "He tried to warm up there. Hopefully, he'll be ready for the next game."
Hossa has 10 goals and eight assists in 23 games this season. He played in Tuesday's 5-3 win against the Minnesota Wild and spoke to the media afterward.
Hossa was honored prior to Tuesday's contest for recently playing in his 1,000th career regular-season game.
Daniel Carcillo replaced Hossa on the first line for the Blackhawks, and scored the winning goal with 49.3 seconds left.