Orient chairman Barry Hearn talks with West Ham owners David Gold and David Sullivan seem doomed by comments coming out of the Premier League side.
West Ham insist they are not considering such an arrangement.
"West Ham United has not held talks with Leyton Orient in respect of ground sharing and nor is it our intention to do so," their statement said.
"We do not wish to comment on recent statements made by Barry Hearn not least because we can't keep up with his ever-changing position.
"They continue, however, to provide us with a constant source of amusement.'
Hearn had been a vocal critic of transforming the Olympic Stadium into a football venue. “The stadium is a magnificent athletics stadium, it is just not built for football,” he said.
However, West Ham vice-chairman Karren Brady recently revealed the club had examined the possibility of including retractable seating in plans to turn the stadium into a football-friendly arena and put the cost at £10million.
Crucially, it is an option that could appease Hearn who had threatened legal action to prevent the Premier League side moving to within one and half miles of Orient’s Brisbane Road ground. West Ham’s presence so close to League One Orient would, he said, “kill our football club”.