DAVOS, Switzerland — Russia plans to extend its offer of asylum to Edward J. Snowden beyond August, a Russian lawmaker said Friday at the World Economic Forum here.

The lawmaker, Aleksei K. Pushkov, chairman of the foreign affairs committee in Russia’s lower house of Parliament, hinted during a panel discussion that the extension of temporary refugee status for Mr. Snowden, the former National Security Agency contractor, might be indefinite.

“He will not be sent out of Russia,” Mr. Pushkov said. “It will be up to Snowden.”

He added that Mr. Snowden’s father believes his son could not get a fair trial in the United States.

Mr. Pushkov made his comments came against a backdrop of broad criticism of the American spying programs that have come to light since the summer. He pointed to the sheer volume of information that American authorities are able to gather.