Moyes believes the former Sheffield United man has qualities other English centre-halves do not have.
"He has been good all season in the main but in the last eight weeks in particular he's been exceptional," said the Everton manager.
"I don't know where he's at I think there are some great English centre halves, Terry, Ferdinand but Jags has got something that not all of them have got. He's got great recovery, really good speed which sometimes goes unnoticed and hell throw himself in front of things, I think he did that with a Dzeko shot in the second half on Saturday.
"He's a good all round defender."