He is equally appreciative of his bond with the fans, but would not be prepared to outstay his welcome at Everton.
Moyes said: "I don't want them to be saying, 'Hey, we want rid of him because his time's up'. If that's the case I'd say, 'Give it to someone else, then'.
"If it's not going well maybe I'd be the first to say to the chairman, 'Maybe my time's up'. But then in the same breath I'd say, 'Come on chairman, we've got to find more investment'.
"I know, though, that he's not sitting at home keeping all the money.
"You might have a chairman from Abu Dhabi or Mars, but we've a chairman from Liverpool who's trying to do the best for his team."