The 19-year-old, who is on loan from Chelsea, scored both goals in the 2-1 win over Sunderland on Saturday.
"I want to end this season in a European spot and I know we have the players at West Brom to achieve that goal," Lukaku told reporters.
"We have the staff, the experience and the up and coming players to do it. We've got experienced players back now to push on in the remainder of the season.
"I have personal ambitions I want to reach, I want to score goals but also win as much as possible. If I do better and help the team, that's perfect."
Lukaku has scored 12 goals in the Premier League this season.