The sinking of the Moskva is widely seen as a humiliation for Russia and its fleet, to the point that even pro-Kremlin commentators are demanding an explanation from the authorities.
One sailor is dead and 27 others are still missing, the Russian Defense Ministry said on Friday, acknowledging casualties for the first time.
But to ensure that the other people on board, numbering 396, had been evacuated.
The Moskva, flagship of the Russian fleet in the Black Sea, which can officially count up to 680 crew members, sank on April 14.
Russia says it sank due to the explosion of ammunition on board and bad weather conditions that thwarted towing operations.
But Ukraine says it sank the building with missiles.
Moscow forced to admit "disappeared"
The Russian authorities had so far announced no loss during the sinking, even claiming at first that the entire crew had been evacuated.
On Saturday, the Russian Ministry of Defense published a video presented as showing a meeting between the chief of the navy and the survivors of the Moskva.
However, in parallel, several testimonies published by Russian-language media and on social networks in recent days have reported missing sailors, including very young men performing their military service.
A man living in Crimea, Dmitry Chkrebets, presenting himself as the father of a missing person, published a message on the social network Vkontakte on Sunday evening where he asks why his son, a conscript, was in a combat zone.
A woman, Yulia Tsyvova, also told several media that her son was missing.
“The Ministry of Defense is providing all necessary support and assistance to the families and friends of the deceased and the missing,” the ministry said.