It has been reported that many of the Swans' key players are attracting interest from across Europe, with goal-scoring sensation Michu thought to be in demand
Michael Laudrup’s side have made a good start to the season and currently sit seventh with 23 points from 15 games.
Summer signing Michu is thought to have attracted interest from around Europe, after a goal-filled start to the campaign, but Williams is confident no-one will want to leave the Liberty Stadium whilst the Swans are in good form.
"I think as long as the team are doing well I don't think we will have any problem keeping our best players," he told Sky Sports.
"I don't think anyone is concerned about anyone leaving as we are doing well and the players want to continue that."
The Swans captain recognises Michu’s impact in the team, with the Spaniard the joint-leading scorer in the Premier League this season, but he feels the whole squad deserve credit for their league position.
He added: "He [Michu] is a good player and we knew straight away when he came on the pre-season tour to America, all the boys were saying how good he was.
"All the boys that have come in this season have done well, obviously he [Michu] is the one making the headlines and scoring the goals, but I think everyone that has come in has contributed and added to the team this year.
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"All the lads here are good lads and we get on well and I think the team spirit we have helps us."
With talk of finishing in the European places this season, Williams insists the club have set no targets yet, despite the club only being three points behind third-placed Chelsea.
"It's nice to be up there in seventh place, but I still count downwards to see where the relegation places are before I count up to the Champions League spots," he said.
"That's just natural as we want to make sure we stay in this league.
"We are enjoying it at the moment and it is nice for a lot of the boys who have come up through the lower leagues to be sitting seventh in the Premier League is a nice feeling.
"We have not set any targets. We did not set any targets last season and we haven't this season.
"We just wanted to build on what we did last season, which I think we have done already, and try and finish as high as we can really."