Manager Rudi Garcia, who worked with the France international for three seasons at Lille, is keen on adding another central midfielder as the club look to clinch a first league title in thirteen years.
The 49 year old is willing to pay £12m for the man who helped him clinch a Ligue 1 and Coupe de France double in 2011, before moving to the English top-flight with Alan Pardew’s men.
He was strongly linked with Arsenal during the summer, but remained with the North-East club despite seemingly pushing for a move.
Roma dropped points in league for the first time this season by drawing 1-1 with Torino on Sunday afternoon, though they remain three points clear of Napoli and Juventus.
They are currently second favourites behind Juventus to secure to Scudetto at a price of 2/1.