Embodiments of the present invention provide a system for distributing a thermal interface material. The system includes: an integrated circuit chip; a heat sink; and a compliant thermal interface material (TIM) between the integrated circuit chip and the heat sink. During assembly of the system, a mating surface of the heat sink and a mating surface of the integrated circuit chip are shaped to distribute the TIM in the predetermined pattern as the TIM is pressed between the mating surface of heat sink and a corresponding mating surface of the integrated circuit chip.