Russian prosecutors opened a new criminal case against Berezovsky, 60, who fled to the UK in 2000 facing fraud charges, after he told a radio station in January 2006 that he was planning to overthrow the administration of President Vladimir Putin.
"The case has been suspended," Andrei Borovikov said. "The Prosecutor General's Office has notified us that the investigation has been completed and that further action against the suspect is impossible in his absence."
The press service of the Prosecutor General's Office said it was checking the report.
"We are checking whether his [lawyer's] words are true," the service said.
In an interview with Ekho Moskvy, Berezovsky, who had vast clout under President Boris Yeltsin in the 1990s but fell out with the Kremlin when Putin took power, said the president had violated the Constitution, and that any violent action on the opposition's part would be justified.
"That includes taking power by force, which is exactly what I am working on," he said.
The British foreign secretary warned the businessman against such statements at the time, saying his status as a political refugee could be reviewed.
The statement prompted Russian prosecutors, who had unsuccessfully sought the controversial tycoon's extradition on fraud charges, to reinvigorate demands that he be extradited.
British courts have turned down Russia's extradition requests citing Berezovsky's refugee status, and the businessman has dismissed the charges as politically motivated.
The UK is also home to more than a dozen suspects wanted in Russia in connection with economic crimes, including individuals involved in the long-running case surrounding bankrupt oil company Yukos.
The country also harbors Ahmed Zakayev, a Chechen separatist emissary wanted in Russia on terrorism charges.
UK courts have repeatedly rejected Russia's extradition requests in all cases.
