Diarra, who previously played for Arsenal and Chelsea, is under contract with the French side until 2019 but it's rumoured he could leave for nothing.
French newspaper L'Equipe claimed last month the midfielder has a verbal agreement with club president Vicent Labrune to leave on a free transfer.
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Diarra has been a key player for Marseille this season, making 31 appearances and was recalled to the French national team in October for the first time in five years.
And he is expected to be part of Didier Deschamps’ squad for the European Championships this summer that kick off on June 10.