The Toffees are enjoying a fantastic start to the campaign, currently sitting fifth after losing just two of their opening twelve matches.
And with many finding it difficult to predict who will finish fourth this season, the Belgium international feels that David Moyes’ men have the ability to see off their competitors.
“Everybody in the team wants to finish in the top four," Fellaini told reporters.
|TOFFEES STICK WITH BIG BOYS
|7/2||Everton are 7/2 with Bet365 to finish in the top four|
However, the 24-year-old conceded that the Toffees will have to secure points from sides such as Reading – against whom they lost 2-1 on Saturday.
"If you want to be in the top four, we need to win some difficult games, like Reading for example. It is difficult, but the team has the quality for this,” he continued.
"The manager was a little bit angry on Saturday because we had a lot of chances to win the game. We could have had two penalties, but that's football and it was disappointing for Everton.
"We need to win games like that if we want to finish in the top four. We will start again on Saturday. Getting three points is the most important thing."