Kris Ajer could be fit to face Partick Thistle on Saturday but Dedryck Boyata faces a couple of weeks on the sidelines.
The defenders were injured during the first half of the 1-0 defeat at Kilmarnock with the hoops already without defenders Mikael Lustig and Marvin Compper.
Dedryck Boyata ruled out of Celtic’s Europa League clash with Zenit on Thursday night.
Kristoffer Ajer should be fit for Scottish Cup with Partick Thistle and the Zenit game.
— Ronnie Charters (@RonnieCharters) February 8, 2018
With two Europa League ties coming up against Zenit St Peterburg Brendan Rodgers will be hoping that there are no more injuries to his defenders.
Jozo Simunovic was left out of the side to play Kilmarnock due to past problems with plastic pitches but is expected to start against Thistle in the Scottish Cup.
Anthony Ralston should be back in contention after playing 90 minutes against St Johnstone in the SFA Youth Cup on Monday.
Patrick Roberts was pictured taking part in training today with reports claiming that the winger, Stuart Armstrong and Tom Rogic could be in contention for the first leg match against Zenit a week today.