Gudmundsson has invested �30m since taking over the club in 2006
West Ham's future could be decided as early as Wednesday as talks continue over the sale of the club.
Chairman Bjorgolfur Gudmundsson has debts of £300m, which has led to him putting West Ham up for sale.
BBC sports editor Mihir Bose says this could be a crucial week for the Premier League outfit.
He said: "If the right price is offered at meetings between interested parties and the board then a decision on a sale could be reached this Wednesday."
Bose added: "If an amount cannot be agreed then the creditors of Hansa - West Ham's holding company - will effectively take over the club and wait for a better time to sell the Hammers."
Gudmundsson bought West Ham for £85m in November 2006 but his business has been affected by the economic crisis.
Landsbanki, the Icelandic bank in which he was the biggest shareholder, went into receivership in October last year while his holding company, Hansa, has gone into voluntary liquidation.
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