Drogba will be away on African Cup of Nations duty for about five weeks - a period Lukaku is hoping to utilise to impress coach Andre Villas-Boas.
The Belgian, who joined Chelsea in the summer last year, has had very few opportunities to showcase his talent thus far, having made a mere three appearances without finding the net.
However, with Drogba out of the picture, it's a great opportunity for the 18-year-old to move up the pecking order.
"It's a really big month, January, and to be helpful for the team would be great. To score a goal would be good for my confidence, but I just want to get a spot in the team and continue enjoying it," he told Chelsea's official website.
Lukaku also spoke of his desire to play at the magnificent Wembley stadium.
"Wembley is a big incentive, and we are now playing there for the national team against England in a friendly before Euro 2012, but Chelsea is the most important thing now and I want to earn a place in the starting 11," he said.
The Belgian admitted the past six months or so had been about adapting to life in England, but he's now ready to make his presence felt on the pitch.
"The first few months here have been about learning English football and learning the Chelsea way, so I have played also with the reserves and done analysis with the manager and staff to improve my game.
"It's gone very well, I had some good games, some lesser ones but in the last five games for the reserves I scored five goals.
"Now I am feeling very well and in the new year it is a new start and I want to earn a spot in the team."
Speaking about his fascination with the FA Cup, Lukaku remarked: "The first Chelsea one I saw was Man United in 2007, the first one at Wembley and from then on I have followed all the finals, even Portsmouth against Cardiff, because after the Champions League and the Premier League for me the FA Cup is one of the greatest tournaments there is around the world.
"Everyone participates in it and the best teams want to win it. To be one of the favourites to win it is a great honour and from Sunday on we hope to start on our way to the final."