The Catalans lead Real Madrid by a point in La Liga, will face Athletic Bilbao in the final of the Copa del Rey and lead Manchester City 2-1 after the first leg of their Champions League last 16 tie.
“I think we have the team to think about winning the treble,” Neymar said on Wednesday.
“We will give everything to win it. I don’t want to choose any title, I want to win all three.”
Real have handed the initiative in the title race to their eternal rivals with a series of slip-ups in recent weeks.
And Barca can take a huge step towards winning the league for the fifth time in seven seasons when they host Madrid on March 22.
“The Clasico will be a final, we will prepare for it like that. Madrid are a very difficult team to play against, but we are only thinking about winning the game.
“The lead won’t be definitive because the league is very long and there are still a lot of games to go. We need to play our game and concentrate on winning.”
The Clasico will see the two most expensive frontlines in history go head-to-head once more as Barca’s on-form trio of Neymar, Luis Suarez and Lionel Messi take on Madrid’s three-pronged attack of Cristiano Ronaldo, Gareth Bale and Karim Benzema.
“I think so,” Neymar replied when asked if he thought Barca’s front three was better than Madrid’s.
“But we focus on ourselves, we don’t think about the opponents.
“We try to do damage to rival defences and every day we understand each other better. They are two brilliant players.
“Leo is the best in the world and Suarez is a great goalscorer. It is an honour for me to play with them.”