Hearn, a snooker and boxing promoter, is in talks with businessman Terry Byrne over the sale of the London side.
"I'm in discussions with Terry Byrne over the possibility of selling Orient," Hearn told The Sun.
"I've always said I'm a fan of the club, but it doesn't mean I have to be the owner so long as I can guarantee its long-term survival.
"At this stage we're only in discussions but it only takes a minute to agree something if it's in the best interests of the club."