Having helped Leeds United win promotion to the Premier League during his loan period at Elland Road, the 22-year-old is attracting interest from several top-flight clubs.
Despite talk of a £40m asking price, a recent report suggested that Chelsea were prepared to meet Brighton's valuation of the centre-back.
However, according to The Sun, the Seagulls are prepared to reject all offers for the young Englishman during the current transfer window.
Instead, it is claimed that Brighton will consider offers for Shane Duffy, who only made 14 starts in all competitions last season.
Leeds and Liverpool had also been hoping to complete the permanent signing of White. body check tags ::