The Clarets are set to be badly weakened by losing striker Chris Wood to Newcastle after the Magpies moved in to snap him up.
Wood has been undergoing a medical in the north east, with Newcastle wanting to get him in through the door before they face Watford this weekend.
The Turf Moor outfit have offered Lens a fee of €17m for the services of the 26-year-old, according to Foot Mercato’s Cedric Rablat.
It remains to be seen whether the sum will be enough to convince Lens to part with the midfielder.
They snapped Fofana up from Italian side Udinese in 2020 and he has impressed with his performances back in France.
Fofana, who was born in Paris and turned out for Paris FC and Lorient at youth level, has experience of English football gained through time on the books at Manchester City and with Fulham.