Ahead of today's Merseyside derby against Liverpool, some pundits insist Moyes deserves to be considered for Manager of the Season.
But he insists: "I'm getting a bit older. I have had all that.
"I've been there and done it. You know, I could start next season with six defeats and you will be saying I'm rubbish!
"There is very little balance and realism in the job in some ways. Arne Slot won the Premier League last year. He's probably got to make a few changes and take a bit of time if the players don't settle in straight away. It's a bit like us.
"What does the next level look like for Everton next year? If you are saying 'you should be in the top four or five!' then I would be saying 'hold on, wait a minute! You're wrong.' It's very difficult.
"Some managers are doing amazing jobs. But there is no way we have a Premier League without someone losing. It's going to be someone in focus every year."