West Ham co-owner David Gold says a deal for the club to move to the Olympic Stadium could be agreed as soon as 16 March.
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"We will only go there if it is fit for use. I won't go there if I have to look over a running track. But I believe we are in a once-in-a-lifetime opportunity".
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The Hammers were named as the preferred bidder for the stadium on 5 December and have been in talks with London Legacy Development Corporation (LLDC).
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"I think we're close. It's only what I'm being promised. As we speak I'm being promised 16 March," Gold told talkSPORT.
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"We would sign the agreement then."
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The LLDC board - which preferred West Ham to League One side Leyton Orient, UCFB College of Football Business and a consortium linked to Formula 1 - is set to meet on 26 March.
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But an extraordinary general meeting could be called if agreement over the £429m venue is reached before then.
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Gold added: "I'm embarrassed because I've tweeted 10 times that it's going to be next week or next month and here's a date.
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"The date comes and goes and then I give another date. But I think we are close."
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Negotiations with the LLDC included talks on West Ham's share of the costs of converting the London 2012 venue.