"Russia will continue to support by all means the launch and stable work of the Constitutional Committee," Vershinin said at a meeting of the Security Council of the United Nations (UN).
He called to continue holding high-level international meetings on Syria in the Astana format.
"The next meeting in this format is planned for the near future in the Kazakh capital," he said.
On September 23, UN Secretary General Antonio Guterres announced the formation of the Syrian Constitutional Committee and said the body would be convened in the coming weeks.
Syrian Foreign Minister Walid Mualem revealed that the inaugural meeting of the committee in Geneva had been tentatively set for October 30.
Syria has been experiencing a conflict since March 2011 in which government forces face armed opposition groups and terrorist organizations.
The solution of the conflict is sought in two platforms, that of Geneva, under the auspices of the UN, and that of Astana (former name of the Kazakh capital, today Nur-Sultan), co-sponsored by Russia, Turkey and Iran.
The decision to create a Constitutional Committee, which would meet in Geneva and be dedicated to preparing a reform of the Constitution of Syria, was the main result of the Syrian National Dialogue Congress, which was developed at the end of January 2018 in the Russian city of Sochi.