Swans vice-captain Williams has also been linked with Liverpool after an impressive campaign which has seen him lift the Capital One Cup and help the Welsh club push into the top half of the Premier League table.
Laudrup admitted speculation is a natural thing when players are performing well, but is confident he can persuade his stars to stay put.
"We know that there will be a lot of rumours - I've said that before - about some of our players because they've done well this season,” he told reporters.
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"When your players are doing well it's normal that there's interest from bigger clubs sometimes.
"[But] I imagine if someone is renewing and extending their contract [it is] because they want to stay next season.
"But you never know in football. I know that, I've been here enough."