Speaking at a summit of the regional group in the Urals city of Yekaterinburg, Dmitry Medvedev also said member states should use their national currencies in mutual trade.
"We need to speed up work on the draft documents regulating the admission of new members to the organization... We have been discussing the issue, and are unanimous on this," he said.
The SCO, which includes Russia, China and four ex-Soviet Central Asian republics - Kazakhstan, Kyrgyzstan, Tajikistan and Uzbekistan - currently has no official arrangements for admitting members. Iran and Pakistan, observer nations in the group along with India and Mongolia, have asked for full membership.
Medvedev said the group seeks to bolster its position and strengthen partnerships with other countries and organizations.
The SCO is to decide on granting a partner nation status to Belarus and Sri Lanka at the summit, he said.
On the issue of national currencies, Medvedev said the share of sovereign currencies in mutual trade should be increased to reduce dependence on international reserve currencies, and suggested that regional countries invest in each other’s financial instruments.
"We must strengthen the international currency system not only by strengthening the dollar’s positions, but also by creating new reserve currencies and possibly by eventually creating supranational payment instruments and means of settlements," he said.
China has recently argued against a new supranational reserve currency that would cut reliance on the US dollar, RIA Novosti reported.