The Hammers' long wait to secure a move to the £429 million venue has reportedly moved closer this month following talks with the London Legacy Development Corporation (LLDC).
London Mayor Boris Johnson described those discussions as "positive" and Gold revealed on Monday that an agreement could by secured as early as March 16.
"I think we're close. It's only what I'm being promised. As we speak I'm being promised March 16," Gold told talkSPORT.
"We would sign the agreement then."
The 76-year-old stressed that date was not set in stone though after the potential agreement - that would see West Ham move to the stadium in 2016 - had suffered late glitches before.
"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," he said.
"The date comes and goes and then I give another date. But I think we are close."