Williams was delighted to see the Dane sign a one-year contract extension ahead of the weekend defeat at West Brom.
He hopes Laudrup and the current squad can remain together to take the Swans to the next level as they have already avoided the so-called 'second season syndrome' that has affected promoted Barclays Premier League clubs in the past.
But Williams also knows Laudrup could still receive a tempting offer from another club despite committing himself to the Swans until the end of the 2014-15 campaign.
He said: "We're pleased the gaffer signed the contract. We've enjoyed the season working with him. He's been linked to other teams which shows he's doing his job properly. That's normal.
"He signed a new contract and I don't think any of us knew he was going to do that. It was a nice surprise.
"Can we keep the squad together? Hopefully. We've got a good squad here, we get on really well, we enjoy playing.
"I can't speak for other people or for the future because it's football.
"We all know the gaffer could get an offer he feels he wants and the club want to take it. You never know what could happen. It's important we all try hard to stick together."
Williams added: "Is this the stability we need now? I think so. When we first got promoted, we just wanted to survive.
"There was second season syndrome where you just want to survive.
"Then we're going to try and establish ourselves as a Premier League club.
"We have a good manager and a good club, the infrastructure's looking sound. We never looked at survival as such, we always knew we wanted to stay in the Premier League."
Williams admits Laudrup is a man of few words but has made a big impact with the Capital One Cup winners.
He said: "He doesn't talk much at all! He's very laid back and that shows in how well we all get on and how relaxed the atmosphere is.
"We've all enjoyed working with him. It's a bit different to what we're used to but we've embraced it. He gets his point across."
Premier League Top 6 Finish 12/13 Top 6 Finish: Swansea 28/1
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