Luiz's spectacular goal saw last season's Champions League winners beat Basle 3-1 in the Europa League semi-final second leg to complete a 5-2 aggregate triumph and set up a May 15 final against his former club Benfica in Amsterdam.
"I want one more title, not just the final," Luiz told Chelsea TV.
"It will be a difficult game against a big club, a great team. We need to win.
"(Benfica are) a team everyone knows. I have Benfica in my heart because it gave me the opportunity to come to Europe.
"When the game starts I'll forget everything and I want to win."
Chelsea interim boss Rafael Benitez believes the Brazilian, who he deployed in central midfield, was playing within himself for fear of a suspension that would rule him out of the final.
"David is showing everyone how good he is," Benitez said.
"He can use both feet, he can pass, he can win (the ball) in the air.
"It was not easy for him, for (Ryan) Bertrand and Rami (Ramires), because they had the yellow card. It was a difficult situation.
"I think he was playing just at 80 per cent. If that level is 80 per cent, 100 per cent will be even better."
It was Luiz whose last-gasp free-kick in Switzerland earned Chelsea the first-leg advantage and he has now scored three in five games following a 35-yard effort at Fulham.
He was unable to pick his best effort and hopes his next goal will be even better.
"It's always special when you can score and when you can help the team," Luiz said.
"It's difficult to choose one. I'll wait for the next one."
Luiz and Chelsea appear to be timing their run of form well, with Champions League qualification the next target as Benitez bids to finish his reign on a high.
Luiz lauded Benitez as the Spaniard prepares to depart at the end of the season, with Real Madrid boss Jose Mourinho expected to take charge at Stamford Bridge for a second time.
One national newspaper reported a deal has already been agreed for Mourinho to return on July 1.
"All season we've tried our best, but now the team has more confidence to play together and in the philosophy of Rafa Benitez," Luiz said.
The Europa League is a competition Chelsea did not expect to be in this season and is their eighth and last shot at silverware.
It means the Blues will play 69 games this term, with the next on Sunday against Barclays Premier League champions Manchester United.
Old Trafford is game 65 and the 66th follows on Wednesday night at home to rivals Tottenham, with both likely to have a huge bearing on whether the Blues return to the Champions League next season.
Luiz is greedy and wants Chelsea to achieve both of their remaining targets.
After defeats in the Club World Cup final and the last four of both domestic cup competitions, Chelsea are determined to triumph in Holland.
"Everyone wants to play in the Champions League next year, everyone wants to win one title this season," Luiz added.
"We've lost three finals so we need to win now. We need to show the character, to show our best and to win the title."
Gary Cahill hopes Chelsea can become the first team to hold the Champions League and Europa League trophies at the same time - for 10 days at least - by beating Benfica, a side the Blues defeated en route to European Cup glory last term.
"It is a great opportunity," he said in the London Evening Standard.
"We just have one more game to go and a great chance to lift the cup.
"When you come this far you want to go on and win it, you don't want to go through only to lose the final.
"It is a huge game, we did it last year in the Champions League and hopefully will do it again.
"We have had a couple of chances to win trophies pass us by this season so we don't want another one."
Chelsea's congested schedule has made rotation necessary and Benitez praised his squad.
"The players, when you rotate them and use different players, still they are performing," he said.
As for Benfica, Benitez added: "The final always is 50-50. It will be tough."