Remy ruled out for two games
The France international came on as a second-half substitute as OM were held 2-2 at the Stade Velodrome but had to be replaced himself in the closing stages.
A statement on the club's website read: "Loic Remy had scans this morning which revealed a small detachment of the membrane in his left thigh. He will be unavailable for between ten and 12 days."
Marseille take on Bordeaux in the league this coming Sunday and Fenerbahce in the UEFA Europa League a week on Thursday. They will hope Remy can return for the home clash with Lille next Sunday, 14 days after the injury occured.
In addition, back-up goalkeeper Gennaro Bracigliano faces three weeks on the sidelines after suffering a shoulder injury in the warm-up before the Nice game.