Lukaku was speaking before victory over Napoli on Tuesday night.
“We did well in the second leg of the Coppa Italia semi-final, but wasted too many scoring opportunities," Lukaku told Inter TV of that 1-1 draw in June.
“This is another important game, we have to close this campaign in the right way, hopefully with a victory. Gennaro Gattuso is a coach who really knows how to motivate his lads, Napoli always play to win, so I think it'll be an entertaining match."
Lukaku has set a new personal best with 29 goals in all competition this season.
“Playing for Inter is something I've wanted to experience since I was a kid. I will always try to do my best for this team. My job is to score goals, but the objective is to win trophies."