Nyorai kupfuurira kweiyi ndima - Pakutanga kwa1941, McGrigor akanga ari, kwenguva pfupi, Flag Captain,, mureza waSir James Somerville uye aibatanidzwa muMalta Convoys nemamwe mabasa muAtlantic neMediterranean kusanganisira Bombardment yeGenoa muna February 1941 uye kunyura kwe "Bismarck" muna May 1941. Akakwidziridzwa kuva rear admiral musi wa 8 Chikunguru 1941. Pakati pa9 Gunyana 1941 uye kutanga kwa1943, aive Mutevedzeri Mukuru weVashandi veNaval (Zviridzwa). Mukupera kwa1943, akatungamira Naval Force (Force B) kufukidza kubatwa kwechitsuwa cheItaly chePantelleria (Operation Corkscrew) uye iyo yakatevera Invasion yeSicily
nokuda kwaakapiwa mubayiro weDistinguished Service Order. Akashanda seFlag Officer, Sicily, kwaakakuvadzwa, kwemwedzi mitatu asati aendeswazve seFlag Officer, Taranto neAdriatic (inogara pamhenderekedzo yegungwa muAlexandria) kusvika pakupera kwa1943.