The Everton forward has admitted that he looks up to the Chelsea and Manchester City strikers.
The Belgian forward has started the new campaign in excellent form and netted a brace for the Toffees in a 3-0 win away to Southampton last weekend.
Lukaku will come up against the challenge of Vincent Kompany and Eliaquim Mangala on Sunday and has spoken out about progressing to become one of English football’s most feared attackers.
“If you want to be one of the best you have to look at the best,” Lukaku told The Guardian.
“For me at the moment that’s men like Diego Costa and Aguero. Costa because he has that combativity. He terrorises defences just with a look in his opponent’s eye.
“With Aguero he can run in behind, come to feet, hold the ball, dribble past a few players. That is what I like.
“You have to look at these players and think ‘What do you have that I don’t?’ and add it to your game. I have the potential but it has to come out.
“I want that competition. I want to fight. I will look at someone who’s in front of me, someone who’s better, like Agüero, and think what do they have that’s better than me because I want to be better than them.
“If you don’t have ambition to be one of the best, someone will always come and take your place. There are a million players in the world who want to play in the Premier League, or even just be in the squad, so why not have that ambition?”
Over the years Lukaku has shown that he can be a devastating centre forward, scoring goals consistently for West Brom and Everton over the years.
Alongside Arouna Kone and Ross Barkley, Everton seem to have an exciting attacking trident this season that are firing on all cylinders, scoring five goals in their first two games.
Lukaku has a point to prove after not being given a chance at Chelsea, with goals against Manchester City this weekend sure to have people sitting up and taking notice.