The disclosed embodiments provide a system that facilitates heat transfer in an electronic device. The system includes a heat pipe configured to conduct heat away from a heat-generating component in the electronic device. The system also includes a thermal stage disposed along a thermal interface between the heat-generating component and the heat pipe, wherein the thermal stage applies a spring force between the heat-generating component and the heat pipe. The thermal stage includes a first thickness to accommodate the heat pipe and a second thickness that is greater than the first thickness to increase a spring force between the heat-generating component and the heat pipe. Finally, the system includes a set of fasteners configured to fasten the thermal stage to a surface within the electronic device and form a thermal gap between the heat pipe and an enclosure of the electronic device.