 After shakedown off Bermuda, "Mosley" escorted a convoy out of Norfolk, Virginia, to Texas Gulf ports and back.Then, on 28 January 1944, she sailed to New York for escort duty with CortDiv 46.Between 31 January and 18 March 1944, she screened a UGS GUS convoy to north Africa and back; then, following anti-submarine warfare (ASW) training off Block Island, she reached Norfolk 1 April for further escort duty.