The Spaniard has taken the Premier League by storm since joining the Swans in the summer and his manager insists that it would take a massive sum for him to leave the club
The £2m summer signing from Rayo Vallecano has hit 10 goals in 15 Premier League games to put him joint-top of the scoring chart with his prolific form leading to suggestions that he may be subject to bids from bigger clubs in January, though the Dane insists that he is going nowhere.
The Swans sold Joe Allen to Liverpool for £15m in the summer and the former Denmark international believes that a figure of twice that amount would be needed to see Michu leave.
"I don't want to let him go. Sometimes the offer can be so big you have to accept but I really don't think clubs are going to pay so much money for him," Laudrup explained to reporters.
"We have the example of what Liverpool paid for Joe Allen, if they have to pay double for Michu there are few clubs who could afford that.
"Joe went to Liverpool and you know more or less what they paid for him but a guy who has scored many goals must be worth a lot more, so you work out the figures.
"I don't think anyone will come with that money so he will stay here."
The Swans have enjoyed a strong start to life under their new manager and Saturday's memorable 2-0 victory away to Arsenal leaves them seventh, just three points off third place.
Laudrup, however, played down talk of European qualification, adding: "There are other teams who will fight for that, it would not be logical for a team like Swansea to play for such places. That does not mean we are not happy at being at a good place in the table but I look at the points.
"I am pleased with what we have now but if we are sixth, eighth or 10th now it is not so important. We are 15 games in, there are 23 to go and it is still tight.
"If you look at the teams above and below it is very tight and you know in three or four games the situation can change very quickly so we need to take one game at a time and, when we get to March or April, then we can see what happens."