The report states newly appointed manager Slaven Bilic has been a fan of the Senegalese international since his time in Turkey. The 29 year old has recently been linked with a move Sunderland.
Sow scored 16 goals and provided eight assists in all competitions last season but only has a year left on his contract with Fenerbahce.
Sow joined Fenerbahçe on a €10 million euro transfer from Lille in 2012 after a successful spell at the club winning the Ligue 1 title.