Jacks want former Chelsea and Tottenham star to take the reigns if Dane departs.
Swansea have identified Brighton boss Gus Poyet as the man to replace Michael Laudrup, should the Dane leave south Wales this summer, reports The Sun.
Laudrup guided the Jacks to the finest moment in their history last month, as they beat Bradford 5-0 at Wembley to win the League Cup.
The former Real Madrid playmaker has earned widespread plaudits for building an entertaining and attractive side at the Liberty Stadium and the 48-year-old has been linked with a return to the Santiago Bernabeu to succeed head-coach Jose Mourinho – should the Portuguese leave, as expected, in the summer.
Poyet snubbed Swansea’s advances before the club appointed Brendan Rodgers in 2010 because he had only just a taken up his post on the south coast.
But the Uruguyan has intimated of late that he would like to manage in the Premier League and the 45-year-old has been linked with a return to Chelsea to replace interim boss Rafa Benitez.
Swans chairman Huw Jenkins admitted on Monday that the club had a succession plan in place should Ladurup depart.
“We wouldn’t be doing our jobs if we didn’t have some idea of who will suit Swansea City,” he said.