Devices, systems, and methods herein relate to cooling a head of a patient. These systems and methods may comprise a cooling cap assembly comprising a heat exchanger configured to be wrapped around a head of a patient and a compression assembly releasably coupled to the heat exchanger. The compression assembly may comprise an enclosure and an inflatable member coupled to an internal surface of the enclosure. When coupled, the inflatable member may be positioned between the enclosure and the heat exchanger. The heat exchanger may be separate from and moveable relative to the inflatable member.