Despite qualifying for next season’s Champions League, Marseille need to bring in €60m to balance the books.
Head coach Andre Villas-Boas wants to strengthen his squad, putting Les Phocéens in a complicated position.
Kamara, 20, could be sacrificed and Marseille have opened the door to a sale by setting a €40m price-tag.
Kamara, who can also step up into a central midfield role, made 28 appearances for OM this season.
He is widely considered to be one of Ligue 1’s best prospects and has represented France at every youth level.