The Toffees' 1-1 draw at the Etihad was their seventh in nine games, but kept them in fifth spot, still in the hunt for a Champions League place.
But Moyes cautioned: "I think it will be hard for us to make the Champions League. It'll be a big thing for us.
"When we play over 90 minutes against someone we've always got a good chance. But can we do it over 38 games?