Viktor Matveev said that scientists around the world are currently considering a proposal by their Russian colleagues to build a new collider.
The idea was put forward by scientists from the Joint Institute for Nuclear Research in Dubna, who suggested that a new device be built in the Moscow Region.
He said that a delegation of international scientists had visited the proposed site and concluded that, "It is one of the best places in the world for construction of that kind."
Matveev also said that the idea for the collider "came from Russia," and that the world's first collider had been built by scientists in the West Siberian city of Novosibirsk.
He went on to say that the collider, which could be even more powerful than the European version, would boost Russian scientific progress and allow young researchers to take part in the projects to follow.
The international LHC project has involved more than 2,000 physicists from hundreds of universities and laboratories in 34 countries since 1984. Over 700 Russian physicists from 12 research institutes have taken part.
The LHC is based 100 meters below ground, with a circumference of 27 km, and is operated from the control room of the European Organization for Nuclear Research, known by its French acronym CERN.
Prof Frank Wilczek of MIT has called the experiment "our civilization's answer to the Pyramids of Egypt."