The report states that Fenerbahce’s sporting director Giuliano Terraneo will fly to England to hold talks with United if Fenerbahce eliminate Shakhtar Donetsk in the UEFA Champions League qualification round.
Fanatik goes onto state that the Istanbul giants are open to either loaning Januzaj with an option to buy or buying the Belgium international on a permanent deal.
Fenerbahçe have already signed eight players this season including Lille defender Simon Kjaer, 2014-15 Süper Lig top scorer Fernandao, Turkish international Şener Özbayraklı and Brazil international Josef De Souza.
Januzaj would be able to play under domestic status in Turkey due to having part-Turkish heritage.
The Belgium international of Kosovan origin struggled for playing time under United boss Louis van Gaal last season making just 18 Premier League appearances.