OM, who dispensed with coach Elie Baup after last week's loss to Nantes and have sporting director Jose Anigo in caretaker charge, are currently fifth in Ligue 1 and lead seventh-placed Reims by only two points.
Fourth-placed Nantes take on Nice in the other stand-out tie while the remaining two top-flight showdowns pair Bastia with Evian and Rennes against Valenciennes.
League leaders Paris Saint-Germain have a tricky draw away to Ligue 2 Brest while Monaco travel to Vannes and third-placed Lille go to Amiens.
Several more of the competition's minnows have the opportunity to face big clubs, with fourth-tier pair Cannes and Raon-l'Etape hosting St Etienne and Bordeaux respectively.
Seventh-tier Bressuire FC take on Sochaux while Olympique Marcquois, from the eighth level, face four-time winners Auxerre.