Laudrup's existing deal runs until the end of next season but Swans chairman Huw Jenkins confirmed last week he would like to extend the Dane's contract by 12 months.
Laudrup is happy in south Wales but recently stated his focus is on the present rather than the future and is in no rush to negotiate new terms.
Nevertheless, Laudrup's agent Bayram Tutumlu told Danish newspaper Ekstra Bladet: "Yes, Swansea has a strong interest in extending Michael Laudrup's contract.
"In the coming days, we will meet with Swansea and discuss the possibility of an extension."
Laudrup is enjoying an impressive first season in charge of Swansea after replacing Brendan Rodgers in June.
The 48-year-old has led the Swans into the top half of the Barclays Premier League table and they are already just three points shy of the 40 widely regarded as the mark required to avoid relegation.
He has also guided Swansea to the League Cup final at Wembley later this month, where they will face Bradford.