The Premier League champions were thought to be willing to let Traore go out on loan to get experience, with him having barely played so far this season.
They were also fine with allowing him to move to a Premier League rival, so long as they could get his £40,000-a-week wages paid in full by the loaning club.
One of his potential suitors were Everton, with the Sun reporting they were interested in adding the 20-year-old to their ranks in the January transfer window.
However, it now seems that a move to the Premier League will not be happening, with La Provence claiming that the player has told Marseille he would prefer a move to France instead.
The French side are keen to add Newcastle United outcast Florian Thauvin, but with that potential deal dragging on they have sought out alternatives and Traore is someone they have identified.
They have already held discussions with Chelsea about a move, with Hiddink’s side now waiting to decide whether to sanction the loan deal.