The midfielder has missed the last three games through injury and won’t be risked in Saturday’s derby match.
Rogic picked up a nasty looking ankle injury just before half time in the 2-1 win over Dundee and hasn’t played since.
The loss of the Australian is a big blow for Brendan Rodgers but the hoops boss has a number of options to fill that role.
Ryan Christie played in the advanced midfield role in tonight’s 2-0 win over Ross County but is unlikely to start at Ibrox.
Patrick Roberts or Stuart Armstrong are contenders to play in that position, Roberts would be a straight replacement for the Australian while Armstrong could push forward with Nir Bitton or Callum McGregor going in to partner Scott Brown in midfield.