Chabot sustained the injury blocking a shot during the Senators' 3-2 loss to the Philadelphia Flyers on Monday. He played 24:32, second on the Senators, including the final 2:01 of the third period.
The 22-year-old is tied for eighth among NHL defensemen with 49 points (13 goals, 36 assists) in 62 games, and his 24:04 average ice time per game leads Ottawa.
"Just talking to him, he says he's really going to try to get back into the lineup," Crawford said, according to the Ottawa Sun. "As long as he's healing and as long as he's capable, you can make that decision when you have all the information at hand."
A first-round pick (No. 18) by the Senators in the 2015 NHL Draft, Chabot has 74 points (22 goals, 52 assists) in 126 games with Ottawa.
The Senators (23-41-6) are 31st in the NHL standings. They have 12 games remaining, starting with the St. Louis Blues at Canadian Tire Centre on Thursday (7:30 p.m. ET; RDS2, TSN5, FS-MW, NHL.TV).
