"CSTO's cooperation with NATO and the OSCE [Organization for Security and Cooperation in Europe] may contribute to the formation of a new security structure," Nikolai Bordyuzha said at a session of the Federation Council, the Russian parliament's upper house.
The CSTO is a security grouping comprising the former Soviet republics of Armenia, Belarus, Kazakhstan, Kyrgyzstan, Russia, Uzbekistan and Tajikistan.
Bordyuzha also said that the organization may cooperate more actively with NATO on resolving the situation in Afghanistan.
Despite the recent deterioration of relations with NATO, Russia continues to support the military alliance's operations in Afghanistan, and has said it shares NATO's concerns over the worsening security situation in the country.
Southern Afghanistan is the stronghold of the radical Taliban movement, which was ousted by the U.S.-led coalition from government in the 2001 campaign. The Taliban have intensified attacks on Afghan and foreign troops this year.
NATO's International Security Assistance Force (ISAF) has about 53,000 troops in Afghanistan under a UN mandate to give security support to the Afghan government and stop the flow of drugs from the country.