In early May she was part of the destroyer screen with five other destroyers for the battleship , and the light cruisers , and which were joining the Mediterranean Fleet. This was part of Operation Tiger which included a supply convoy taking tanks to the Middle East and the transfer of warships. "Fury" and her sisters had their Two-Speed Destroyer Sweep (TSDS) minesweeping gear rigged to allow them to serve as a fast minesweepers en route to Malta. Despite this, one merchant ship was sunk by mines and another damaged. Later that month, she participated in Operation Splice, another mission in which the carriers "Ark Royal" and flew off fighters for Malta. Force H was ordered to join the escort of Convoy WS 8B in the North Atlantic on 24 May, after the Battle of the Denmark Strait on 23 May, but they were directed to search for the and the heavy cruiser on 25 May. Heavy seas increased fuel consumption for all of the escorts and "Forester" was forced to return to Gibraltar to refuel later that day before rejoining the capital ships of Force H on 29 May, after "Bismarck" had been tracked down and sunk. In early June the destroyer participated in two more aircraft delivery missions to Malta (Operations Rocket and Tracer). On 22 June, the 8th DF was tasked to intercept a German supply ship spotted heading towards the French coast. The next day they intercepted which was scuttled by her crew upon the approach of the British ships. They rescued 78 British POWs taken from ships sunk by German raiders and the crew. In late June, "Fury" screened "Ark Royal" and "Furious" as they flew off more fighters for Malta in Operation Railway.