Marseille sporting director Jose Anigo has told Djibril Cisse a return to England will soon become impossible.
The former Liverpool forward is believed to be keen to move back to the Premier League as his wife still lives in England.
However, despite the signing of forwards Bakari Kone and Hatem Ben Arfa in recent weeks, the French club have insisted they wish to keep hold of the 26-year-old.
Coach Eric Gerets has said, while he understands Cisse's personal problems, he wants to keep the forward at the club.
Anigo has revealed there are no offers for the France international, and says the door will be closed to Cisse if he does not find a club soon.
'The closer we get to the start of the season the less chance Djibril has of leaving,' Anigo told the Marseille website.
'He knows the period after which his exit will become impossible.
'He has been frank with us, we know he wants to go back to England even though there has been no concrete offer.
'We consider Djibril as someone who'll still be in Marseille for our season.
'If he stays it'll be very good for us. We wouldn't be able to replace him at such short notice.'
Reports in France suggest Cisse has until the end of the week to arrange a transfer.
For his part, Gerets again insisted he hoped the forward would stay.
He said: 'He has said a few times that he would like to return to England.
'I really don't want to mess up his private or his sporting life, but I'll fight to keep him here.'