"It's a vital game," said Moyes, whose side are unbeaten in their last five Premier League matches. "The games are running out and we're getting closer to the end of the season.
"For the last month or so we've been the big underdogs to be anywhere close to the Champions League but with the way we've been playing and the results we've been getting it keeps us hoping that there is a real chance.
Even if Everton fail to finish in the top four, Moyes says his side can be happy that they remain in the hunt for a European spot.
He added: "From our point of view, no matter what happens we are still in the fight for a European spot and for Everton to be saying that at this time of year is a positive thing and we should be pleased with that."