The Swansea captain is wanted by both Everton and Crystal Palace.
The centre-back is wanted by both Everton and Palace this summer, but he has told the BBC that he will be staying with Swansea for the 2015/16 campaign.
The defender said: “I'll be staying. The gaffer has already said that. I’m used to dealing with the speculation and bids. It's part of the job and I just take it as a compliment and shows that you're doing your job properly. I'm committed to Swansea and just concentrating on Swansea this pre-season.”
Williams is considered one of the best centre-backs in the top flight, and has been central to Swansea’s success in establishing themselves as a Premier League side.
At 30-years-old he has a number of years ahead of him yet, and two specific Premier League clubs have been looking at signing Williams this summer.
The Mirror claim that Crystal Palace want him, with Alan Pardew being a long-term admirer of the defender, whilst Everton may also enter the race should John Stones leave the club this summer.
However, Williams has ruled out an exit from the Liberty Stadium, as the Welsh club look to push ahead this season for Europa League football.
He is a talented player, and would vastly improve many teams if he was to sign for them, but as of now, Swansea will continue to benefit from the talents of the powerful central defender.