Swansea will not consider selling their captain Ashley Williams for less than £10m, according to Sky sources.
The centre-half has been linked with Liverpool and Arsenal after leading City to Capital One Cup glory and a likely mid-table Premier League finish.
But it will take an eight-figure bid this summer before Swansea grant permission for interested clubs to talk to the 28-year-old.
Williams, who signed a new deal in October, is under contract at City for another two years.
The £400,000 signing from Stockport is guaranteed Europa League football if he remains in south Wales for a sixth season.