On 16 February 2019 Moiseyev was one of seven Russian personnel notified by investigators of Security Service of Ukraine of suspicion of "engaging in an aggressive war or aggressive military actions", relating to the Kerch Strait incident in November 2018. Colonel-General Aleksandr Dvornikov, Commander of the Southern Military District, was also one of those notified. By a presidential decree on 3 May 2019, Moiseyev was appointed commander of the Northern Fleet, succeeding Admiral Nikolai Yevmenov, who has been appointed Commander-in-Chief of the Russian Navy. Moiseyev was promoted to the rank of admiral on 10 December 2020.