Preparing for his final game in charge of the Toffees on Sunday, the Manchester-bound Scot suggested that their next manager may already be at the club and in line for a promotion
Departing captain Phil Neville, ex-skipper and current manager of Everton's under-21s Alan Stubbs, and former Toffees striker Duncan Ferguson, who has been working with young players at the club's academy since 2011, have all now been touted as Moyes' successor.
Moyes himself was the third longest-serving manager in the Premier League at the start of this season, having been at Goodison Park for more than ten years.
"I wouldn’t answer to whether it should be internal or external because it would be unfair,” Moyes told The Telegraph.
"I wouldn’t want to say something that will affect Bill’s judgement because I hope people would say he chose well last time.
"I would always recommend the people who are around me. A lot of them know how the workings of the training ground is, how we move things forward and the restraints the club has, so it is easy for them to deal with that."
Wigan manager Roberto Martinez is also someone who has been heavily linked with the imminent vacancy, and he remains the bookies' favourite; but Moyes said: "There are people here who have seen how I have worked. Are they going to be successful managers? I don’t know.
"The only way you can find out is to give them an opportunity. In the same breath I do think that experience in learning your trade is important as well.
"That is why the decision is not necessarily going to be someone from inside the building."