 Ramba uchinyora ndima iyi - Norris akazoshanda muTask Force Bravo, boka rinoedza kugadzira zvikepe zvinorwisa zvikepe zvepasi pemvura, kusvikira paakazoshandazve mu6th Fleet kubva muna June kusvika muna August 1960. Pashure pokushandurwa kweFRAM II paPhiladelphia kubva munaKurume kusvika munaDecember 1961, Norris aiva negore rinopfuura rekudzidzira kwakasimba kweAtlantic Fleet, kusanganisira rwendo rwekudzidzira rwendo. Akanga reclassified munhu mukuru chinangwa muparadzi DD-859 musi 7 August 1962 uye muna October akatora nzvimbo kure Cuba panguva kwokurambidzwa kunokonzerwa missile dambudziko. Nokudzoka kwekunyarara, akanga adzokera kuNewport muna December kuti agadzirire imwe nzvimbo yeMediterranean, yakaitika kubva munaFebruary 6-July 7, 1963. Muna August, wire-guided torpedo system yakaiswa neBoston Naval Shipyard, uye Norris akapedza nguva yakawanda yegore rakatevera achiedza uye kuongorora hurongwa hutsva. 