Yann M'Vila, who has been linked with Arsenal, Manchester United, and Tottenham, could be on the move after Rennes agreed a deal to sign Jean Makoun from Aston Villa.
Rennes are ready to let M'Vila leave the Stade de la Route de Lorient and club chairman Frederic de Saint-Sernin revealed at the weekend that he was considering a "concrete" bid from an unnamed Premier League club.
Makoun is seen as a potential replacement for M'Vila in the Rennes midfield this season and the France international looks increasingly likely to leave the Ligue 1 club.
Tottenham are understood to have tabled a bid in the region of £12million for the 22-year-old in recent days, while Arsenal and Man Utd have shown interest for some time.
Reports in recent weeks have suggested Arsenal manager Arsene Wenger may have cooled his interest as a result of M'Vila's behaviour for France during Euro 2012, but with Alex Song continuing to be linked with a move to Barcelona, it is thought the Gunners could still be considering a bid.
Rennes value M'Vila at around £17m, and the player last week claimed he would be happy to remain in France for another year should the right offer fail to come his way.
It is believed the tough-tackler would prefer a move to a club playing Champions League football.
"For the moment, I am here," he said.
"I am well, I'm not complaining, I'm playing. I must play good matches. While I am here, I am [at] the disposal of the coach and I must do the best possible.
"The transfer window ends on September 4, so I will not lose my head.
"If I must stay another year or more, I will stay. If I must go, that's life. But if I stay here, I will be 100 per cent concentrated."
Liverpool have also been linked with M'Vila, as have Barcelona, Inter Milan, and Real Madrid.