The 25-year-old joined Les Phoceens in 2010 after snubbing a move to Stoke City.
Spurs are reportedly ready to make another attempt to sign the France international in the summer. Despite this and attention from a host of clubs, Remy is not interested in leaving southern France.
He told La Provence: "I already said I am not ready to leave for the moment.
"There are offers, in England especially, but I do not feel I have had a complete season for Marseille and have a sense of unfulfilled duty."
Remy has scored 14 goals in 36 games for Marseille this season.