This paper presents a study of the thermal spreading resistance Rth of a small heat source on a conductive substrate subject to bottomside convective cooling. This problem has been investigated for a very long time and is well covered in the literature. However, instead of using the design curves found in many papers, the results are presented as function of the heat transfer coefficient h. Doing so, a remarkable property is revealed. The thermal resistance is proportional to the logarithm of the reciprocal heat transfer coefficient, for a broad range of at least three decades