Asked whether Snowden has shared the information, Feinstein said: "We don't know."
Snowden said last month that he had not had contact with the Chinese government and that he only shares information with journalists.
He was in Hong Kong -- a semi-autonomous part of China -- when his identity first became public and has been stuck in the transit zone of the Moscow airport for weeks while seeking asylum.
Feinstein has said Snowden is guilty of treason.