"Tucker" continued operating between Hawaii and the West Coast into February 1941. She then set course for New Zealand on a goodwill tour, arriving in Auckland on 17 March. Returning to Pearl Harbor, she took part in routine exercises at sea before returning to her homeport of San Diego on 19September. After a short stay, "Tucker" steamed to Hawaii in November as part of Task Force19, operating again in the Hawaiian Islands. Shortly afterward, she put into Pearl Harbor for an overhaul by a destroyer tender.