The club's long-serving Scottish tactician has been at the helm since 2002 and has been credited with reviving the Merseysiders.
Maybe feel Moyes has one of the most secure jobs in the business, but the 47-year-old says he is not resting on his laurels.
The former Preston boss knows that the minute he takes his foot off the accelerator then he could be next in line for the chop.
"In football management, every day you come into work your job is not secure," he said.
"I feel that if I don't work hard every week I could be in jeopardy myself.
"In horse racing terms, I have to be out of the saddle all the time, whip ready. I don't think at Everton we are ever able to canter.
"We always have to stand up in the saddle and go for it."
Meanwhile, Moyes admits Everton's meagre output in front of a goal is a concern and that he is mulling over ways to increase their goals tally.
The Scot has even joked that the team may revert to a long-ball style of play in order to create more chances for their strikers.
"I might go and start crashing the ball into the box, do it that way," Moyes said.
"It doesn't really matter what you do between the boxes - it is what happens in the boxes.
"Obviously people want to see a brand of football which they think is the right way to do things, and over the years in England there has been a lot of criticism of the long ball.
"But at the end of the day, if you get the ball in the box and knock it down and score goals, then it wins you games.
"At the moment our football is great up to the box but we can't seem to alternate our play.
"In the past we have had people like Duncan Ferguson who we could maybe have brought on and done something.
"So we are a bit limited in what we have got in that respect. We have to keep crafting and passing and finding a way of scoring."