Eboue Kouassi is facing two months out of action.
“Kouassi will have an operation on Thursday,” Rodgers told The Herald. “Two of the players went to London to have check-ups on where they are at.
“Boyata is good news. He comes back and he’ll be back in early September. Kouassi will have an operation on his ankle.
“The knee is stable, but there was a bit at his ankle similar to what Tom Rogic had and it puts him out for six to nine weeks. It is a shame for the boy because he was doing so well.”
Kouassi has had little luck since he joined Celtic in January from Russian side Krasnodar.
Boyata was ruled out for three months after injuring his knee against Slavia Prague with that blow compounded by an injury to Erik Sviatchenko.
Moussa Dembele is expected to be be back in action early in September after recovering from a hamstring injury.