Welsh side demanding close to £12 million for centre-back.
Swansea have told Arsenal that they will have to at least double their bid for Ashley Williams to have any hope of signing the centre-back according to The Mirror.
Arsenal are thought to be in the market for a new defender after manager Arsene Wenger saw his backline commit a number of costly mistakes last season.
Wenger is determined not to see a repeat this season and is keen to bring in some defensive reinforcements to provide competition to the likes of Per Mertesacker, Thomas Vermelen and Laurent Koscielny.
It is thought he has identified Williams as the man to shore up the Arsenal defence after seeing the centre-back lead Swansea to Capital One Cup glory last season following their 5-0 victory over Bradford at Wembley.
Wenger made Swansea an offer of £6 million for Williams but that has been firmly rejected by the Welsh side.
Swansea are keen to retain his services and have told Arsenal a bid of at least £12 million will be required to persuade the Swans to sell.
It remains to be seen whether Wenger will meet the club’s valuation, having promised a summer of spending yet so far only managing to secure the signing of Yaya Sanogo on a free transfer.