The Volvos I'm thinking of are the PV444 and 544 series, and I'll focus on the PV444s here. Some were built 1944-1946, but mass production took place 1947-1958. That's according to this Wikipedia entry.
So if prototypes first saw the light of day around late 1943 and early 1944 (before being formally announced late summer '44), this implies that styling was done during the early 1940s. Surely Volvo staff dealing with body design were aware of the restyled 1941 Ford line and must have been influenced by it. Below I compare PV444s with 1942 Fords, the last model year before World War 2 halted production.