The Hammers beat off stiff competition to be named as the highest-ranked bidder, but the club want supporters' opinions over any potential switch from Upton Park
The supporters board previously met in November to discuss the situation but have stepped up the process.
West Ham were recently named by the London Legacy Development Corporation as the highest-ranked bidder to use the stadium in the wake of this summer's Olympic Games.
However, the Hammers insist any future move is dependant on whether the switch is right for both the club and the supporters - including the stadium design being acceptable for staging Premier League football matches.
The meeting will be led by vice-Chairman Karren Brady, with joint-Chairman David Gold and former player Tony Cottee also in attendance.
West Ham’s current home Upton Park has capacity of 35,016, but a move to the Olympic Stadium would see this number rise.