The England midfielder has been a long term target of Moyes, who is prepared to break his self imposed wage limit to land the player.
Whilst it is thought that Parker will take a pay cut to come to Everton, he is thought to have tripled his wages when he moved to Chelsea, putting him somewhere around the £50,000 per week mark.
The news comes after confirmation that Simon Davies will head north to Goodison for a medical on Tuesday, with a view to completeing his signing for an initial £3.5m.
More news on Scott Parker as we get it.