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"It's not just a matter of, if he dies, things get released, it's more nuanced than that," he said. "It's really just a way to protect himself against extremely rogue behavior on the part of the United States, by which I mean violent actions toward him, designed to end his life, and it's just a way to ensure that nobody feels incentivized to do that."
He declined to provide any more details about the pact or how it would work.
Greenwald said he himself has beefed up his own security, particularly since a laptop went missing from his Rio home.
"I don't really feel comfortable discussing the specific measures, but one would be really irrational and foolish to have thousands of top-secret documents from the most secretive agency of the world's most powerful government and not be thoughtful about added security," he said.
It was not immediately clear whether Russia would take Snowden up on his latest request for asylum, which could further test U.S.-Russia relations.
Following Friday's meeting between Snowden and human rights activists, U.S. officials criticized Russia for allowing a "propaganda platform" for the NSA leader.
White House spokesman Jay Carney said Russia should instead send Snowden back to the U.S. to face the felony charges that are pending against him.
Carney said Snowden is not a human rights activist or a dissident. "He is accused of leaking classified information, has been charged with three felony counts and should be returned to the United States," the spokesman said.