After the end of the campaign, Kork took command of the Kharkov Military District and later became the assistant commander of the Armed Forces of Ukraine and the Crimea. In October 1922 he took command of the Turkestan Front, fighting against Basmachi rebels. During the late 1920s, Kork commanded the Caucasus Army, several military districts, and was the Soviet military attaché in Germany between 1928 and 1929. Returning from Germany, Kork became commander of the Moscow Military District. In 1935 he became head of the Frunze Military Academy with the rank of Komandarm 2nd rank. At this time he was the highest-ranking Estonian Red Army officer. During the Great Purge, Kork was arrested and shot as part of the Case of Trotskyist Anti-Soviet Military Organization. He was acquitted twenty years later.