Sebastien Sainsbury's team of lawyers held "a constructive meeting" with Walker Morris, the firm of solicitors who represent the Leeds board, on Monday.
Sainsbury has attracted fresh European investment with the necessary proof of funds.
It is understood a deal is close to being agreed in principle between the two parties but there remain a number of issues still to be resolved.
Despite the financial complexities, in particular relating to the recent sale-and-leaseback of Elland Road and the Thorp Arch training complex, a buyout could be finalised before Christmas, although the Leeds board are believed to be in no rush.