Tom Rogic and Cristian Gamboa have returned to Celtic after World Cup duty but are not ready for the second leg of the first Champions League qualifier against Alashkert on Wednesday night.
Dedryck Boyata and Mikael Lustig have yet to return following their efforts at Russia 2018 while Leigh Griffiths, Jonny Hayes and Lewis Morgan are out with various knocks.
The Hoops, who take a 3-0 lead into the return game against the Armenian side at Celtic Park, will have goalkeeper Craig Gordon back in the squad after he missed the friendly win over Standard Liege at the weekend with a minor wrist problem.
Meanwhile manager Brendan Rodgers described Mikey Johnston as a "special talent" and insists he is part of his plans.
It was reported that the 19-year-old winger could possibly be used as a sweetener in a deal to bring Hibernian midfielder John McGinn (below) to Parkhead, with St Mirren manager Alan Stubbs also reportedly keen to take him on loan.
However, ahead of the Champions League first qualifying round second leg against Alashkert at Parkhead, Rodgers said of Johnston: "He is very much staying here at Celtic at this point in time.
"He is an exciting young talent at 19 years of age. He is learning the other side of the game in terms of the tactical idea of pressing and how to work and how to recover but there is no doubt he is a special talent.
"So at this moment in time he is very much in my plans. We need to develop him, get him some games and if that changes there is a number of options, with teams that would like to take him, but at this moment he stays."
Rodgers, who hopes to tie down Belgium World Cup defender Dedryck Boyata on a new deal when he returns from holiday, was less expansive about the possibility of McGinn moving to Celtic.
Hibs have rejected two bids from the Parkhead club for the Scotland international, reported to be of £1.5m and £2m.
The Northern Irishman said: "It is something that is pretty much between the clubs and of course there is speculation around Mikey and John and other players but it nothing to comment on.
"We just get on with letting the clubs sort it out and if they can then great."