A headrest includes a first part referred to as the lower part, equipped with a connecting unit enabling an adjustable connection of the headrest to the seat back of a pilot seat, and a second part referred to as the upper part, located opposite the lower part, as well as a front face intended to serve as a support surface for the head of a user. A receptacle, connected to the mask, stores an oxygen mask and/or a supply line. The upper part of the headrest forms a hinged cover on the lower part of the headrest and it closes the receptacle. A seat, a cockpit, and an aircraft include such headrest.