The 28-year-old defender is back in training and he has stepped up his recovery in the last few days.
The defender was on the sidelines since November and his return would be a timely boost for Celtic.
The Hoops missed a reliable defensive presence like him against Copenhagen earlier in the week. Celtic crashed out of the Europa League after a 3-1 defeat at home.
Elhamed would have certainly improved them and he could have made a difference for Celtic in the game.
It will be interesting to see if Elhamed returns to action this week.