The midfielder has enjoyed a successful 2012-13 campaign and ahead of his current manager's move to Manchester United, has not ruled out linking up with the Scot once more
The Belgian has enjoyed his most productive campaign at Goodison Park to date, scoring 12 goals in all competitions from the middle of the park.
The Premier League champions are reportedly keen to bolster their midfield ranks and speculation has quickly risen that Moyes, who will replace the retiring Sir Alex Ferguson after United's final game of the season at West Brom, will look to bring his Everton talisman with him to Old Trafford.
Indeed, speaking to reporters ahead of Everton's concluding clash of the campaign against Chelsea, Fellaini paid tribute to his current boss and refused to rule out a move away from Merseyside.
"If I’m leaving Everton - I say if - it will depend on lots of factors," said the 25-year-old, who reportedly has a £23 million buy-out clause written into his current contract.
"I only want to go to a club where the manager really wants me. In 2008, Everton did everything to convince me, especially David Moyes. He made me the player I am now."
The former Standard Liege man attributes his goalscoring exploits this season to a change in position which has seen him operating just behind the lone striker.
However, further fuelling the rumours of a possible move to the Red Devils, Fellaini revealed that both he and Moyes believe his best position is from a deeper midfield role.
"I’m happy with my season, although I didn’t play in my best position," he continued.
"I’m not a number 10. David Moyes predicts my future as a defensive midfielder, but due to a lack of offensive power, he plays me up front.
"In the future I want to play as a six or an eight. From there, I can create danger and score goals."