Abstract: The pillow of the present invention is comprised of a compressible foam core which is wrapped in a membrane that is impervious to air. The membrane has holes defined in it which permit air to flow out of the core when it is compressed and back into the core when it expands after having been compressed. The core is wrapped in a cushion which is made from a softer foam than the core. The cushion provides firmness and permits the pillow to be squeezed without compressing the core. A resilient layer of polyester fiber which surrounds the cushion conforms to the user's body and makes the pillow comfortable to use. The entire structure is held together by ticking made from a nonwoven nonabsorbent fabric or a similar material.