Jamie Moralee said that there have been bids for the player, but that Swansea would not be accepting any as he is a vital member of the team.
"At the moment there have been some bids coming in," FourFourTwo quotes Moralee as saying. "Swansea have rejected those because they think Ash is important - everyone's clear on that.
"Swansea are very clear that Ashley is not for sale. Whatever offer comes in, he is not going to be sold. That's the option they've got and we're comfortable with that. We respect that because he's their player, he's under contract.
"We've got to the point where they don't want to take an offer so hopefully we can sign the right contract at Swansea - that would be Ash's ideal scenario. Ash is very professional and he will continue to give Swansea everything he has."
Williams has played for Swansea since 2008.