Albion must wait to find out if they cash in on their meeting with Carlos Tevez.
The Football Association want to study the outcome of an inquiry into player eligibility before deciding whether West Ham face action for fielding the Argentinian against the Seagulls in the FA Cup.
Premier League officials are looking at whether the move to bring Tevez and Argentina team-mate Javier Mascherano to Upton Park breaches rules as clubs are not allowed to field players owned by a third party.
FA Cup rules state players have to comply with the eligibility terms of their own league.
Bury were kicked out of the FA Cup this season for fielding an ineligible player but with West Ham already knocked out of this season's competition, punishing the Premiership club if found guilty could prove problematic.
Compensation to Albion has been suggested while matching Bury's punishment could lead to calls for West Ham to be kicked out of next season's competition.
The Seagulls have confirmed they are monitoring developments while a Bury spokesman said: "We are watching the situation with interest."
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