The Ivorian wants to leave the Cherries after seemingly falling out of favour with manager Eddie Howe.
Reports have suggested that Lyon and Hull are currently leading the way to land Gradel, who only signed a new four-year deal in July, before the close of the window.
However. L’Equipe have reported that the French club have so far not inquired about the 28-year-old, which come as good news for Hull.
The Tigers have had a difficult summer following the shock departure of manager Steve Bruce, but have made a bright start to the new season under Mike Phelan.
And, having landed the likes of Ryan Mason and Will Keane already, they could be about to follow it up by bringing in Gradel on loan.