Last week the east London club were named as the number one choice to move into the £429million Olympic venue.
The London Legacy Development Corporation (LLDC) unanimously made the decision in favour of West Ham, although there are a number of issues which need to be sorted before a final deal can be struck.
The club have announced that the 2012/13 SAB, which met for the first time this season in November, will discuss the LLDC's decision at Tuesday night's emergency meeting.
The meeting will be led by vice-chairman Karren Brady and attended by joint-chairman David Gold and former Hammers striker Tony Cottee.
"The LLDC decision represents a huge step forward but, as the club has stated throughout, highest-ranked bidder status does not mean that West Ham have at this stage agreed to the move and it remains the case that we will only do so if the final proposal is right for the club and its supporters," the club said on its official website, www.whufc.com.
"This includes the necessity of agreeing a stadium design specification that is acceptable to the club in terms of its ability to host world-class football matches.
"The time for supporters to have their voices heard is now and a more intensive consultation process will commence on Tuesday evening.
"The club will consult with SAB members to agree how the club takes that consultation process forward.
"The club stand by its commitment to conduct full supporter consultation regarding the proposed move, including the polling of supporters.
"West Ham fans can be confident that wherever there is an opportunity for West Ham to input in the decisions going forward, supporters will be at the forefront."
Tuesday night's meeting will be held behind closed doors with a select group of people, with its findings confidential.
The SAB is led by head of marketing Tara Warren and has more than 100 both returning and new members advising West Ham on key policy issues.
It was set up during the 2011/12 season and its various sub-committees examine a variety of subjects.