"Right now his status is day-to-day, but my sense is that it will probably be a week," head coach Mike Sullivan said.
Sullivan did note that Crosby's injury is not concussion related. Crosby skated on his own prior to the team's morning skate on Thursday.
Crosby, 31, joins center Derick Brassard (lower-body) and defenseman Justin Schultz (fractured leg) on the injury list. The club recalled center Derek Grant from Wilkes-Barre/Scranton on Wednesday.
"We have a couple of our centers that are out," Sullivan said. "It's going to be a great opportunity for others to step up and play a more significant role, more significant minutes. Guys have to take advantage of that opportunity."