Crawford was hurt in the first period of Chicago's 5-2 victory over Florida Sunday while making a leg save on Marcel Goc and had to be helped off the ice.
Quenneville didn't specify the injury, but the Chicago Sun-Times reported the goaltender sustained a pulled groin.
Crawford had compiled a 17-6-3 record this season with a 2.47 goals against average.
His starting spot will be assumed by Antti Raanta, who has gone 3-0-1 with a 2.16 GAA.
Goaltender Kent Simpson was recalled from Rockford of the American Hockey League to take Crawford's roster spot due to an injury to regular backup Nikolai Khabibulin.
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