Jozo Simunovic missed Celtic's trip to Kilmarnock at the weekend due to injury.
Manchester City winger Patrick Roberts reportedly wants to return to Brendan Rodgers’s Celtic in the summer transfer window.
Celtic midfielder Stuart Armstrong has scored 17 goals and claimed seven assists this season.
Celtic drew 1-1 with Glasgow Rangers on Sunday, marking the first time this season the Ibrox side have avoided defeat against their rivals.
Tierney will have spent more than two months out of the Celtic side by the time the next Old Firm game rolls around.
The Hoops are top of the league and into the Champions League group stages.
Brendan Rodgers added five new players to his squad this summer.
The Celtic coach expects Leigh Griffiths to be fit for the Old Firm derby this weekend.
A select round-up of the latest news involving Mark Warburton's Glasgow Rangers and Brendan Rodgers' Hoops.
The Bhoys first-team coach sounds eager to help the club to silverware as quickly as possible this season.