West Ham are the preferred bidders to take up residency at the Olympic Stadium in London after 2012.
At a news conference in Westminster on Friday, the Olympic Park Legacy Company revealed that the Upton Park club had beaten Tottenham in the voting.
While the deal needs to be rubber stamped by both the Government and London mayor Boris Johnson, it would be considered a massive shock if the Hammers didn't find themselves at a new home in Stratford.
Johnson said: "This is a very significant step forward towards delivering the Olympic Park legacy and the Legacy Company has run a thoroughly professional and robust process.
"This milestone means we now have the prospect of a local football club and a multi-use venue capable of hosting athletics, a range of other sports and a vibrant programme of events for the local community and schools.
"I am thrilled that the Legacy Company board has arrived at a recommendation for me and my colleagues in Government to consider.
"I am confident that we will be able to respond quickly to the advice of the Legacy Company in making our decision."