"T2" began a refit in February 1941 and was then working up until July when she began escorting convoys in the Skaggerak. Together with her sisters , "T8" and , the boat supported German forces invading the Estonian islands of Ösel, Dagö and Muhu (Operation Beowulf) in mid-September. "T2", "T5", "T7", "T8" and "T11" were among the escorts for the Baltic Fleet, a temporary formation built around the battleship , as it sortied into the Sea of Åland on 23–29 September to forestall any attempt by the Soviet Red Banner Baltic Fleet to breakout from the Gulf of Finland. Dagö was captured on 12–13 October after "T2" is part of a decoy force used to distract the defenders. The ship was briefly refitted in November. On 2 December "T2" and her sister rendezvoused with the commerce raider "Thor" in the Schillig Roads; after they were joined by , "T7" and the torpedo boat the following day, they began to escort "Thor" through the Channel. Delayed by heavy fog, the ships did not reach Brest, France, until the 15th, while "Thor" continued onwards into the Atlantic.