Inverness pair Jonny Hayes and Aaron Doran are pushing for a place.
Hayes (foot) and Doran (hip) missed the win over Motherwell but the postponement of the cup tie has given them added hope of returning.
David Proctor (hamstring) and Dani Sanchez (hand) are again on the sidelines, while Kenny Gillet and Graeme Shinnie are lacking in fitness after lay-offs.
Striker Gary Hooper has recovered from a knee injury.
Defender Mark Wilson and skipper Scott Brown are suspended for the fixture which was postponed on Sunday due to a waterlogged pitch.
Defender Daniel Majstorovic is out with fractured toe on his right foot.
Inverness (from): Esson, Innes, Duff, Doran, Odhiambo, Foran, Rooney, Munro, Duncan, Sutherland, Hogg, MacDonald, Hayes, Ross, Cox, Tokely, McBain, Golabek, Morrison, Tuffey.
Celtic (from): Forster, Rogne, Mulgrew, Loovens, Izaguirre, Hooper, Kayal, Ki, Samaras, Commons, McCourt, Stokes, Forrest, Murphy, Juarez, Zaluska, Ledley, McGinn.