The forward says there were promising signs in the 1-1 draw with Liverpool on Sunday.
The Belgian forward has had a strong start to the season, with five Premier League goals to his name so far, the latest coming in the 1-1 draw with Liverpool on Sunday.
He is still young, though, despite having already played three seasons in England with Everton and West Bromwich Albion, and says he is keen to keep improving as much as possible, thanking his team mates for keeping him on his toes.
“As a player, I want to improve and help my teammates to win games,” Lukaku told evertonfc.co.uk.
“Against Liverpool it didn’t work but I will work harder to win the next game for my team. Credit to my teammates though, I work hard every single day in training and they keep me on my toes as well.”
Lukaku was busy in Sunday’s Merseyside derby as he embarked on a battle with the entire Liverpool backline.
It was a successful display from him, as he won a number of duels with the likes of Martin Skrtel, helping his side to get on the attack after winning several aerial battles.
And despite the draw, he says his side dominated proceedings and could have been more composed in possession to secure victory. He does, however, believe that the display was a promising sign of things to come frrom him and the team.
“I think every player wants to win and I think if one team was going to win, it would have been us, because we controlled the game,” he added.
"I think during some moments we could have kept more composure in possession but it was a good battle and a good game for the fans as well, so it’s promising."