Marseille president Pape Diouf has revealed Didier Deschamps is one of a number of potential candidates to replace Eric Gerets as the club's coach this summer.
Gerets announced last week he would not be renewing his contract that expires at the end of this season and there is now fevered speculation about who will be taking over from the Belgian.
Deschamps, the former Monaco and Juventus coach who played for Marseille between 1989-90 and 1991-94, has been heavily linked with the post.
And when questioned about the rumour, Diouf said: "Why not? That is one of the possibilities."
Diouf, speaking on Canal Plus, then added he had "two or three names" in mind.
The names of Nice coach Frederic Antonetti and Jean Tigana have also been brought up in the French media as potential replacements for Gerets.
Deschamps' last coaching job was at Juve, who he was in charge of in the 2006-07 campaign. Since then, he has worked as a commentator on French television.
The 40-year-old, who captained France to World Cup glory in 1998 and then success at Euro 2000, was also Marseille skipper when they won the Champions League in 1993.
Diouf's future at OM has been a matter of debate in the French press too, but he insists he will be remaining at the club.
Diouf, who has formed a close relationship with Gerets, met club owner Robert-Louis Dreyfus on Friday for talks.
"It was a very positive exchange," Diouf said. "It lasted for five hours. The shareholder (Louis-Dreyfus) reiterated his confidence in me. He doesn't blame me for anything."
Marseille are top of Ligue 1, on goal difference from Bordeaux, with four rounds of fixtures remaining.