The source reported that negotiations with Fenerbahçe went well and that he is likely to join the Istanbul giants in early July.
Nani is currently on a summer break in Las Vegas but talks between his agent Federico Pastorello and Fenerbahçe sporting director Giulliano Terraneo held in Istanbul a fortnight ago were successful.
The Portuguese international is likely to join Fenerbahçe on a £7 million move according to the Daily Mail.
The 28-year-old winger spent last season on loan at Sporting Lisbon scoring 12 times and providing eight assists in all competitions.
Fenerbahçe have had a busy transfer window with Simon Kjaer joining on a €7 million move from Lille a fortnight ago followed by Bursaspor duo Şener Özbayraklı as well as last seasons Süper Lig goal king Fernandao.
The Yellow Canaries are also interested in Nani’s United teammate Robin van Persie according to Terraneo.
Terraneo responded to Lig Tv reporters asking whether talks with Van Persie were ongoing at Fernandao’s press conference by saying: “Like I said before we want the best players in every position we are going to sign another forward but for a marriage both the man and the woman need to want each other.”