After refitting in January 1942, "Grozny", together with "Gromky", escorted the light cruiser to rendezvous with Convoy PQ 11 on 20 February, but the destroyers were forced to return to port because of a strong storm. It frustrated a subsequent attempts two days later, but they were finally able to meet the convoy that evening. On 5 March "Grozny" sailed to rescue "Gromky" which had run out of fuel. After transferring of oil, "Grozny" accidentally ran aground on 7 March and damaged one propeller and her rudder. She was pulled off and was limited to . Permanent repairs began on 23 March and lasted until 8 May. The ship escorted Convoy QP 12 on 21–23 May and then helped to escort Convoy PQ 16 on 28–30 May. A month later, "Grozny" was one of the escorts for Convoy QP 13. The ship was refitted and had her boilers replaced from August to 19 March 1943. Together with the destroyer leader and "Gromky", "Grozny" unsuccessfully attempted to intercept German supply ships along the coast of Norway on 27–28 and 30–31 March. In mid-May, the ship began escorting local convoys in the Barents and White Seas. She was refitted again from mid-September until early November.