The Super Lig team are looking to bring in options in the attacking areas having lost Demba Ba this summer, meaning Sunderland will have to beat off a side that could offer Europa League football next season.
Luckily, Lens' old PSV manager Dick Advocaat is in charge at the Stadium of Light, and the Mail are reporting that the club are preparing to offer an increased £9 million bid in order to secure the signing of the Dutch international - £1 million more than they offered initially.
Would Lens be right for Sunderland?
Though the Dutchman may not be the prolific striker the Black Cats have long been looking for, Dick Advocaat now has Jermain Defoe at the club as the main goalgetter next season, so any attacking signings that come in will have to be able to play a supporting role up front or out wide.
This is why the 27-year-old would be a successful signing, because for too long now Sunderland have relied on players that aren't really wingers to be playing out wide.
Steven Fletcher, Connor Wickham, even Defoe himself, have played on the wing, but with Lens, Advocaat would have a player who has much more experience in that position, or playing just behind a central striker if that is what Sunderland employ next season.
Now, the Black Cats just need to make sure they can beat off any opposition in order to sign him.