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.
Inverness manager Terry Butcher admits neighbours Ross County's Scottish Cup success against Celtic last season is a source of inspiration as they prepare to face Neil Lennon's men.
County shocked Celtic 2-0 in the semi-finals last season after beating Hibernian in the previous round, before coming up short against Dundee United in the final.
Inverness have already proved they can compete with the Old Firm this season and they are looking for their third Scottish Cup victory over Celtic.
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Inverness CT vs Celtic Live Streaming
Scottish Cup
19:45 GMT, March 16, 2011
Caledonian Stadium, Scotland
