With the likes of Tottenham and Everton also being interested in the France under-21 global, Celtic will have a tough time on their hands trying to convince him to stay at Parkhead.
Should that be the case and it becomes apparent that Dembele is Goodison Park-bound - though The Scottish Sun highlights that the Hoops want to keep the Frenchman for another season - it may perhaps be wise for the Bhoys to consider trying to get Oumar Niasse included as part of the deal.
The Toffees, who reportedly face their own battle in retaining main man Romelu Lukaku, could see Dembele as an ideal replacement and have not been scared of splashing the cash in recent weeks.
In addition to Pickford, Koeman has also spent £24m on Ajax midfielder Davy Klaassen, meaning this deal would push Everton's summer spending towards the £100m mark.
But Everton could be set to trump their rivals with a bid worth over £30m and by offering the player guaranteed first-team football.
And with Everton not seemingly having any plans for the forward, it may not be a surprise if they were willing to let him go for an extremely low fee, leaving Celtic with most of the Dembele fee to strengthen other areas of their squad.