The 20-year-old defender is available for transfer as Barcelona look to bring in funds to help to balance the books.
Everton are unlikely to sign him after agreeing a deal with Norwich for Ben Godfrey and Rennes have also bowed out of the race to sign the Frenchman.
Fulham are claimed to have reached an agreement over a fee with Barcelona and are working to take the defender to Craven Cottage before Monday’s transfer deadline.
But according to Spanish daily Mundo Deportivo, major work is needed to convince the Frenchman to consider a move to the newly-promoted Premier League outfit.
Todibo is not yet ready to sign for Fulham, who are likely to be in a battle for survival in the Premier League this season, and is waiting for offers from more established clubs.
However, Barcelona are hopeful that they will be able to convince the defender to consider the move to Fulham as the money on offer for the Catalan giants is substantial.
Barcelona would make a profit from his sale if Todibo agrees to join the Cottagers in the coming days.
But for the moment, Todibo is not sure about joining Scott Parker’s men in west London.