Liverpool eliminated Manchester City and United from the Carling and FA Cup respectively last week to boost their chances of silverware at the end of the season.
Despite being out due to a cruciate knee ligament injury since November, Lucas will be entitled to a winner's medal should the Reds prevail due to his previous involvement in the competition. It was in the quarterfinal of the competition against Chelsea that Lucas suffered the injury after a collision with Ryan Bertrand.
In an interview with Liverpool's official magazine, the Brazilian spoke of his hopes of claiming his first medal with Liverpool since joining the club from Gremio five years ago.
He said: "I think it [the Carling Cup] would be a reward for the hard work everybody has done and for taking the competition really seriously,
"It would be especially important for me because I got injured in the Carling Cup. Hopefully in February I can be at Wembley getting a medal and I would be really happy if it happens."
He also thanked the support he received from the fans after his injury, and reiterated his commitment to the club.
"When I got injured lots of the fans sent me positive messages and I have to say thanks for that," the midfielder said. "That helped me to keep strong and keep doing well and hopefully I will be back in a red shirt soon. That is something for me to aim for.
"I didn't realise that the people would care so much and it was very nice for me. Those kind of things give you an extra motivation to keep going especially during this hard time that I am having.
"The fans were one of the reasons that I decided to come back from Brazil as I wanted to be closer to them and to my teammates."
Lucas was voted the club's Young Player of the Year and Player of the Year in the last two seasons and has become one of Liverpool's key players and he has been enjoying his best run of form since joining the club in 2007.
He is slated to return from injury only in June.