The French playmaker has struggled for fitness and form during his two-and-a-half year spell at the Stade Gerland and hasn’t featured for Remi Garde’s side this season.
And the cash strapped Ligue 1 club are now keen to shift his £80,000-per-week wages in order to ease their dire financial situation.
Despite seeing his career blighted by injuries, the 26-year-old is still highly thought of in his native land and Arsene Wenger is reportedly preparing to take Les Gones up on their proposal to bring him to the Premier League on a temporary deal this month.
The Gunners boss is also pondering whether to reignite his interest in Wanyama this month with Chelsea and Manchester United thought to be monitoring the 21-year-old.
Since moving to Parkhead from Antwerp-based outfit Beerschott in July 2011 the Kenyan anchor man has come to the attention of the Premier League’s leading clubs after his dynamic performances in this season’s Champions League.
Wenger has been linked with a number of midfielders in January, namely Marouane Fellaini, Yann M’Vila and Mohamed Diame, but reportedly sees Wanyama as the natural replacement for Alex Song.