Russia's Interfax news agency cited the ministry as saying that while large-scale drills across the country continued, some units of the Southern and Western military districts have completed their exercises and started returning to base.
Russian markets reacted positively to the news and the rouble, which has been under pressure due to fears of fresh Western sanctions in the event of a war, gained 1.5 percent shortly after the defense ministry announcement.
German Chancellor Olaf Scholz was expected in Moscow later on Tuesday to meet President Vladimir Putin in a high stakes mission to avert war.