But the People's latest report suggests Crystal Palace are now willing to up their bid for Williams to as high as £10 million.
A hefty fee
Swansea's determination to hold onto Williams means Palace will have to go high if they want to have any chance of landing the 30-year-old. Is £10m a fair fee, though, when it's almost as much as Crystal Palace paid for Cabaye?
A recent report, furthermore, suggested Swansea will only settle for a £12m bid or higher. It's a matter of just how much Palace need a new defender, of course, and Williams' experience and displays for the Swans make him a tempting target.
Pardew would be wise to shop around first, however, and see if there is any better value for money available on the market.