Laudrup's current contract runs until the end of next season but Swans chairman Huw Jenkins confirmed last week he would like to extend the Dane's deal by a further 12 months.
Laudrup, 48, has been linked with Chelsea and Real Madrid and, while he has stated he is happy in south Wales, he recently said he was in no rush to negotiate new terms.
However, 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 a good first season in charge of Swansea after replacing Brendan Rodgers in June.
The Swans are currently seventh in the Premier League table and are looking forward to their first major final later this month, when they face League Two Bradford in the Capital One Cup at Wembley.
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