Nevin says there are two jobs Moyes would be made for.
He told the Liverpool Echo: “It's purely about timing. There are two jobs that David Moyes was made for. I think Scotland was the second one, number two in the list, but the number one was Celtic.
“He and I came through Celtic together as kids, so we knew each other since I was 13 or 14.
“He's had 'manager' written across his forehead for his entire life. When he was 15, you could actually see it because he was captain, obviously, but coming through he was just that type.
“He just looked like somebody who should have been Celtic manager, but the timing has never been quite right.
“There were times when he would have taken it, I'm sure, absolutely, but Celtic had a manager in place who was doing well.
“And then the times when he wasn't available to do it himself, he would have taken it in a millisecond.
“It's just constant. There is a possibility at the end of the season (Scotland manager) Stevie Clarke will leave. He might end up at Celtic, you never know.
“If the timing's right, people will look at Moyes. But I don't think the timing will be right there again because Moyes is absolutely loving what he's doing at Everton right now.”