David Moyes' side saw off Bolton 2-0 at Goodison Park on Boxing Day to bounce back from defeat at Manchester United.
"We are taking things a game at a time but for the football club, everything is going really well," he told the Daily Post.
"This is the time of year when you can make or break your season. This is where you see how things will pan out.
"We need to try and get maximum points if we possibly can and push ourselves up the table. The main key is to not look too far ahead. Arsenal is the next game and we'll think about that for now before we think about anything else.
"If we keep going as we have been and keep focusing on the main objective, then we can't go wrong. The only time it might start to catch up with us if we started to let our heads get in the clouds."
Everton last finished in the top four in 2005.