Rudkin took command of the 15th Tank Corps on 11 June, leading it during the Operation Kutuzov in July and August. On 26 July, the corps was converted into the 7th Guards Tank Corps for its actions. Rudkin was relieved of command on 6 August because he was considered unfit for corps command, and became the commander of the Tambov Tank Camp. On 12 January 1944 he was sent back to the front as commander of the 11th Tank Corps. During his time in command, the corps participated in the Proskurov-Chernivtsi Offensive and Operation Bagration as part of the 13th Army and the 47th Army. During Operation Bagration, on 7 July, the 47th Army and the tank corps attacked in the Kovel area, with the corps ordered to exploit the breakthrough by taking to Liuboml and Opalin, crossing the Western Bug, and advancing on Lublin. Although the 47th Army's attack made little progress, the corps was still sent into combat, due to the Soviet assumption that the German troops were still retreating, along with a lack of reconnaissance. The 11th Tank Corps suffered heavy losses in a German counterattack, and Rudkin was relieved of command on 14 July. In a Stavka order dated 16 July, he was blamed for the corps' loss of 75 tanks, and its attack without infantry or artillery support. In August, he became deputy commander of the armored and mechanized forces of the 3rd Belorussian Front, fighting in the Gumbinnen Operation and the East Prussian Offensive.