The Toffees take on Arsene Wenger's men at Goodison Park knowing that victory would leave them just a point behind their closest rivals for fourth spot with just six games of the Premier League season remaining.
The Belgium international arrived on a season-long loan deal from Chelsea at the start of the season and has bagged an impressive 15 goals for the Merseysiders.
And although Lukaku is unsure what the future holds for him, the 20-year-old is determined to help Roberto Martinez's side finish above the Gunners.
"I knew on the day I arrived at Everton I would be playing at the right level, but I didn't know it would be this special - I thought maybe fifth, sixth. But when you are so close to fourth, why stop?" he told The Mirror.
"Now is the time to man up and put the work in and try to embrace the moment. You have to embrace those moments that define you, and not be scared. I try to embrace those moments, that is why in the last weeks I am playing in a good way, I know that I can dominate players.
"We just have to beat Arsenal at the weekend, and then everything is in our hands.
"It is Arsenal, they are a big club with a big manager but we don't have to be scared - we have to dictate the play and make sure we enjoy our moment on the pitch, and if we do that we have a great chance.
"Look, top four is achievable. It is realistic - we have a good team, we have good young players, but great experienced players, a great mix. If we want to do it, we have to do it now."