An integrated circuit (IC) chip module includes a carrier, a stiffening frame, an IC chip, and a first directional heat spreader. A second directional heat spreader may further be arranged orthogonal to the first directional heat spreader. The carrier has a top surface and a bottom surface configured to be electrically connected to a motherboard. The stiffening frame includes an opening that accepts the IC chip and may be attached to the top surface of the carrier. The IC chip is concentrically arranged within the opening of the stiffening frame. The first directional heat spreader is attached to the stiffening frame and to the IC chip and generally removes heat in a first opposing bivector direction. When included in the IC chip module, the second directional heat spreader is attached to the stiffening frame and to the first directional heat spreader and generally removes heat in a second opposing bivector direction orthogonal to the first opposing bivector direction.