Danish chief Laudrup has been mentioned as a possible candidate to succeed David Moyes at Goodison Park following the Scot's switch to Manchester United.
Laudrup has enjoyed a successful first year in charge of Swansea, leading them to their first major silverware by guiding them to Capital One Cup success earlier this season.
He recently signed a new deal at the Liberty Stadium and the former Denmark international's agent, Bayram Tutumlu, insists Laudrup will not be on the move.
"Michael is very happy at Swansea. We do not think about any other possibilities," said Tutumlu.
"He will not be changing clubs. He likes Swansea and is very settled.
"People always talk about Michael becoming a coach of other clubs because he has done very well.
"But he is the manager of Swansea and that will not change. The Swansea fans do not need to worry. He will be there next season."
Swansea chairman Huw Jenkins is also confident that Laudrup would snub any possible approach from Everton as he is settled in south Wales.
"Michael has made it clear he is not looking to move on," he said.
"He is not a guy who needs publicity. He is doing a job he loves doing and he is happy here.
"He is different from some managers. He is not on the ladder to try to get the top.
"He only said the other day that he will not be bothered if he does not go on to manage a top club."