The club have stated that Nani will arrive in Istanbul today at 18:00 (GMT) at the Sabiha Gökçen airport in Istanbul.
Nani is expected to be welcomed by hundreds if not thousands of Fenerbahçe supporters upon landing in Istanbul.
The 28-year-old will undergo a medical with the club before being unveiled in an official signing ceremony over the next few days.
The Portuguese international is set to join for an undisclosed fee on a four-year deal worth €3.975 million, according to a close Turkish-football.com source.
Nani will become the Yellow Canaries seventh transfer of the transfer window after Simon Kjaer, Fernandao, Şener Özbayraklı, Abdoulaye Ba, Fabiano and Josef De Souza.