The Toffees have hit form to lift themselves to seventh in the Barclays Premier League after a largely disappointing campaign but Moyes thinks the Europa League is still out of reach.
Moyes is well aware that a fifth-place finish is likely to be needed to qualify this season and his side are nine points behind Tottenham, currently in that position, having played a game more.
The Scot said: "I don't think we can make Europe. The way it has gone I don't think that's there at all.
"We weren't good enough in the early part of that race so we can't have any complaints about it."
Source: PA
Source: PA