The Dane guided the Swans to their first major trophy win when they beat Bradford City 5-0 in the Capital One Cup final, securing their place in the Europa League next season.
Despite signing a new contract to keep him at the club until 2015, Laudrup will leave the Liberty Stadium for a new challenge aboard, according to The People.
A source told The People: "Michael wants to see the Swansea job through but it is known within the club that he will only be staying for two seasons and then going somewhere else. He is that type of guy."
Swansea are currently ninth in the Premier League on 42 points.