Asked about the reports, Mr Assange said: "I can confirm that I am leaving the embassy soon, but perhaps not for the the reasons that the Murdoch press and Sky News are saying at the moment."
He gave no further details.
Asked about his health, Mr Assange said anyone would be affected by spending two years in a building with no outside areas or direct sunlight.
Swedish prosecutors want to question Mr Assange over sexual assault allegations made by two female former WikiLeaks volunteers.
Mr Assange denies the allegations and has been fighting a legal battle against extradition since his arrest in Britain in 2010.
"Through all that time, nearly four years, I have not been charged with an offence... and there has been no public indictment," said Mr Assange, flanked by Ecuador's foreign minister Ricardo Patino.
"How can it be that such a situation in Europe arises where a person is held and their freedom of movement is restricted and they are kept from their family while a foreign government, the United States, builds an ever larger case against that person and their organisation?"
'Two years is simply too long'
Mr Assange fears Sweden could in turn extradite him to the United States to be tried for one of the largest leaks of classified information in US history.
"First of all, I have not been charged with an offence here in the United Kingdom or in Sweden at any time," he said.
"Secondly, the basis under which my asylum was granted is the ongoing US investigation into me and WikiLeaks."
Mr Patino did not mention a plan for Mr Assange to leave the embassy but called for the governments involved in his case to take action.
"The situation must come to an end - two years is simply too long," he said.
"We continue to offer him our protection ... we continue to be ready to talk with the British government and the Swedish government to find a solution to this serious breach of Julian Assange's human rights."
WikiLeaks spokesman Gerry Georgatos says he expects Mr Assange will be a free man when he leaves the embassy.
"If it means that he needs to walk out and create a confrontation and be escorted to Ecuador - where he's got asylum, where he's got that right to asylum which is his basic human right - this is what will actually unfold," he said.
"It can't be that he will remain in there for six, seven, eight, nine, 10 years. Things have come to a head."
A spokesperson for the Department of Foreign Affairs and Trade says Australian officials "have previously provided consular assistance to Mr Assange, but he has not requested any such assistance for some time".
"If Mr Assange seeks consular assistance, the Government will extend an appropriate level of service according to the circumstances, but that assistance will not extend to intervening in UK or Swedish legal processes," the spokesperson said.
Earlier this year the law was changed to bar extradition if there's no prosecution decision in the requesting territory.
Assange hasn't been charged in Sweden but the changes to the British extradition laws aren't retrospective so don't apply in his case.
"(Nevertheless) the British parliament and the legal community has seen the abuses of my rights and the rights of many other Britons who have been extradited without charge," the former computer hacker said.
"That has led to a package of law reforms which came into force last month.
"So I am thankful that the United Kingdom is standing up for the values of due process."
Mr Patino on Monday said he'd try and set up a meeting with the UK Foreign Secretary Philip Hammond in the coming weeks to discuss the issue.
"We believe that the recent reforms do create a better climate for us to reach an agreement," the Ecuadorean minister said.
"The situation must come to an end. It is time to free Julian Assange. It is time for his human rights to finally be respected."
A Swedish court in mid-July upheld an arrest warrant against Assange for alleged sexual assault.
Assange also believes, however, that the United States has likely already issued a sealed extradition order meaning if he left the embassy he could be arrested by British police and taken to the US to face charges over WikiLeaks' release of classified documents.
Assange told Mr Patino 12 months ago that he was strong enough to remain in the embassy for five years rather than face legal proceedings in the US.
It's estimated the cost of British police maintaining a 24-hour watch outside the embassy has passed STG7 million ($A12.78 million).