Arsenal, tomorrow's visitors to Goodison , had an £8m bid for the former Sheffield United captain rejected in the summer and Moyes admits it would take much more for him to even consider selling Jagielka.
The Everton manager, who sold Joleon Lescott to Manchester City for £22m, said: "Yes we had a bid but it wasn't a lot of money for Phil Jagielka. I had a word with him the day before we went to Australia on pre-season tour. I said they would have needed to offer an awful lot more money and it wasn't at that point.
"He got on with the job no problem and there will be a new contract offer for Phil Jagielka maybe next year. I have tried to keep the good players here and I was really keen to do that. It was great that he accepted that."