The Dane has been mentioned as a possible candidate to succeed David Moyes at Goodison Park following the Scot's switch to Manchester United.
But Laudrup's agent Bayram Tutumlu has already insisted his client will not be on the move and Laudrup has now reiterated his desire to stay put.
"I've said many times that my intention is to be here next season," said Laudrup.
"It is pure speculation once more. I don't have dreams; I like to live in the present."
Laudrup, who has enjoyed a successful first year in charge of Swansea highlighted by their Capital One Cup victory, recently signed a new deal at the Liberty Stadium.