Havock began escorting supply convoys in June to Tobruk, Libya until the ship was damaged in October. She was repaired in time to escort a convoy to Malta during the First Battle of Sirte in December and was badly damaged whilst protecting another convoy during the Second Battle of Sirte in March 1942. Repairs were attempted in Malta, but the ship was further damaged in an air raid in early April. The Admiralty decided that further attempts to repair her at Malta were pointless and ordered her to Gibraltar for permanent repairs. On 6 April, while on passage to Gibraltar, Havock ran aground near Cape Bon, Tunisia, and her crew was interned by the Vichy French at Laghouat in the Sahara.