The 27-year-old is yet to get his hands on the top-flight trophy since his switch from Benfica in 2011 and he would need Liverpool and Manchester City to slip up in order to do so this season.
The Blues are currently two points behind leaders Liverpool with two games remaining, while City trail Jose Mourinho's side by just one point but with a game in hand.
Lifting the Premier League trophy is now their only chance of silverware this season following their exit from the Champions League at the hands of Atletico Madrid, losing 3-1 at Stamford Bridge in the second leg of their semi-final tie.
Chelsea host Norwich before travelling to Cardiff in their final two fixtures and Luiz was in defiant mood when asked about their chances.
"We will keep fighting in the league," he told the Daily Express.
"We cannot win automatically, so it will be difficult. But we need to fight. Everyone speaks about results. It is a bad season if you don't have trophies at a big club.
"But everyone here is human. Everyone has given their best all season. Everyone can make mistakes.
"But you cannot hide. I do my job every day. I give everything. If there were a lot of bad games when you didn't win, then fine, but we gave our best in so many games. Sometimes it is possible to win, sometimes not.
"Next season there is a plan. We have many fantastic players and everyone wants to win because when you sit at home and watch television, you expect to see Chelsea fighting for trophies."
Luiz also admitted that Diego Simeone's Atletico deserved their win at Stamford Bridge, but that the penalty decision was a turning point, as the La Liga leaders ended Chelsea's hopes of claiming another European trophy.
"Atletico played the same we way did in Spain. They defended well and counter-attacked," he said.
"In the second half, they get a penalty, then we almost score and if it had been 2-2, it would have been a different game. But we lost our organisation and they scored a third.
"That is football. But for me, it is about the personalities. We need to be men. Last season was a poor season until we won a title at the end."
Meanwhile, Luiz has been linked with an exit from Stamford Bridge on a number of occasions - with Barcelona reportedly interested - but he remained coy about his future.
When asked when he would be leaving Chelsea, Luiz told Lancenet: "God knows."