Leyton Orient have submitted an application to the Football League for permission to move to the Olympic Stadium following the conclusion of the Games next year.
As a result of the Olympic Park Legacy Company's decision last week to withdraw their offer to West Ham United, the bidding process will reopen for a tenant to be found.
The Olympic Stadium is located just 1.5 miles from Orient's current Brisbane Road ground and the club remain concerned by the potential impact of the Championship club West Ham moving so close to its home.
"We are asking for a 25,000-seat stadium and we want to see if we can get around the athletics track. It has to stay, we know that. But can we build up, if not down, and see if it's possible to get it covered while we play," said Orient chairman Barry Hearn.
"If it isn't possible, it isn't, and we wouldn't move in with a running track between the pitch and the crowd.
"West Ham can't just assume that they will be in the Premier League by then. We want them thrown out because they don't have permission from the relevant authority, the Football League."
A decision on whose bid for the stadium has been successful is not expected to be made until early next year.