The former Los Blancos star has impressed since succeeding Brendan Rodgers at the Liberty Stadium in the summer, guiding the Swans to the Capital One Cup final.
The 48-year-old has previously stated that he is in no rush to talk about a new contract, with his current deal set to run until 2014.
But Laudrup insisted his long-term future lies with Swansea despite talk of the La Liga champions eyeing the former Denmark international as a replacement for José Mourinho should the Portuguese coach quit.
“My intention is to stay.” he told BBC Sport. “I have a contract for next year as well and I think it’s a very interesting team we’re building up here. We will try to build on in the summer as well.
“Everybody thought we’d struggle down there, so to have 37 points after 26 games is way ahead our plans.”
He added: “Now we have to stay in the present and the present is the league and to get as many points as possible and to win the Cup final.
“Being in a Cup final is a huge success for everybody in the city and the club. But the daily bread if you can call it that is the league,
“Then let’s see what happens next season with some new players coming in [and] the possibility of playing in Europe. It will be a very exciting season but first of all we have to finish this one.”