But he stressed: "It may put me up there in length but it certainly doesn't put me up in quality because they've won trophies. I've not won anything yet so from that point of view I've got a long way to go."
Moyes hopes the progress Everton have made in his six years there will be noticed by club chiefs so quick on the trigger when success does not come instantly.
He said: "The team are playing the best in the six years I've been here.
"I think that's a message to a lot of chairmen out there. Give your managers a bit more time, instead of having a knee-jerk reaction over sackings and changing things around."