The Cottagers have already given permission to Joao Palhinha to travel to Germany to complete his £60m move to Bayern Munich.
Fulham are now working to bring in the Portuguese midfielder’s replacement and Hojbjerg is their top target.
Tottenham are open to letting him go and Fulham are expected to work out an agreement with Spurs for the Dane on deadline day.
However, it has been claimed that Fulham have major work to do to convince the player to accept the move.
The west London club are currently struggling to convince the player that a move to Craven Cottage is the right one for him.
The 28-year-old midfielder is not warming up to the idea of joining Fulham in the final hours of the transfer window.
He is of the opinion that he is good enough to start for some of the biggest clubs in Europe still.
Atletico Madrid are amongst the clubs who are interested in him but are yet to make a concrete offer for him.