South Wales club have offered the Dane an extra year on his present deal.
Swansea City chairman Huw Jenkins says that he and the club are relaxed about the current contract renegotiations taking place with head coach Michael Laudrup.
The former Real Mallorca, Getafe, Spartak Moscow and Bronby manager has a deal in place to remain at the Liberty stadium until the summer of 2014, and Laudrup recently confirmed that he would definitely be honouring his contract.
However, following the South Wales club’s 5-0 victory in Sunday’s Capital One Cup final over Bradford City at Wembley stadium to bring the first-ever piece of silverware to the Principality, Jenkins and Co have opened talks with the former Denmark international about extending his current deal by one more year to 2015.
“Michael knows there is no pressure either way,” Jenkins told BBC Sport about the possible extension to his present contract at the Liberty.
“We have that relationship and whatever he wants to do we are happy with and go along with.
“We can take his contract and looking for players into account and move things forward from there.
“We have been talking and we will talk over the next few weeks or month in connection with looking to extend that.”