Motherwell suffered a surprise 2-1 defeat at St Mirren in the SPL last night.
It means Celtic can move seven points clear of their nearest rivals in the table with a win over Ross County.
Neil Lennon will have to do without Joe Ledley, Kris Commons and former Ireland striker Anthony Stokes.
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Celtic beat St Mirren 2 - 0 at home last weekend with Victor Wanyama and Gary Hooper bagging the goals.
Inverness host bottom team Dundee, while St Johnstone make the trip to Aberdeen.