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?
“We’re missing Kevin Mirallas, Victor Anichebe and we’re just short of other forward options at times to maybe win us the games, that’s why getting so many draws."