The date on the label would indicate that this jacket was part of Bogart's wardrobe for 'Action In The North Atlantic', which was shot in September-December 1942. It was a propaganda film, designed to be a boost for the US Merchant Marine, which was then suffering heavy losses from U-Boat attacks. It would have been a subject close to Bogart's heart, having served in the Navy during WWI.
This was one of a number of items acquired by the vendor's father through his wartime friendship with Freddie Clarke, who became Bogart's butler. Clarke used to send parcels back to his friend in Britain after the war, the country still being under rationing, and included clothes (Bogart's cast-offs) and other items.
Two stills accompany the lot, from a scene with Bogart and the character of Pearl O'Neill, played by Julie Bishop. The vendor's father had the surname of O'Neil, and the vendor has speculated that this may have prompted Bogart to send this particular jacket to his father.
Humphrey Bogart: a double-breasted jacket with Warner Brothers label, believed worn in 'Action In The North Atlantic'