A temperature management system for an energy storage system, a motor vehicle including such a temperature management system, a use of a hygroscopic material in such a temperature management system and a manufacturing method of such a temperature management system. The temperature management system includes at least one energy storage module, a carrier element and a cooling element. The cooling element includes a first surface directed to an environment of the energy storage module and a second surface opposite to the first surface. The carrier element is arranged between the second surface of the cooling element and the energy storage module and configured to transfer heat from the energy storage module in direction to the environment. The cooling element includes at least one humidity absorbent material to increase a heat capacity of the cooling element.