A draw would not rule them out completely, but it would mean that they would require a victory against Barcelona at Camp Nou to reach the last 16. In contrast, Milan can go a long way to securing the runners-up spot with a win in Glasgow.
However, the Bhoys should be able to welcome back James Forrest and Anthony Stokes, both of whom sat out Saturday's 3-1 win over Aberdeen because of a hamstring injury and personal reasons respectively.
Meanwhile, Stephan El Shaarawy has returned to training with his Milan teammates following a six-week spell on the sidelines, but the striker is not expected to start the game.
These two sides have met on nine previous occasions, with Celtic only able to win once, while Milan have come out on top five times.
Possible starting lineups
Celtic: Forster; Izaguirre, Mulgrew, Ambrose, Van Dijk; Forrest, Biton, Ledley, Commons; Samaras, Stokes
Milan: Abbiati; Emanuelson, Bonera, Zapata, Abate; De Jong, Muntari, Poli; Kaka; Matri, Balotelli
Sports Mole says: 1-1