Device (100, 201) for the adjustment of temperature, especially for the extracorporeal adjustment of the temperature of patients, with a transfer of heat between a fluid and a transfer medium, including a temperature-adjustment body (203) having a primary side which provides a guide for the fluid and having an application side which provides a surface (219) for contacting the temperature-adjustment body (203) with the transfer medium; a cover (221) which is attached to the temperature-adjustment body (203) and which forms a cavity with the temperature-adjustment body (203) on the application side, through which cavity the transfer medium can flow; the cover (221) being attached to the temperature-adjustment body (203) in a detachable manner; and flow-guiding structures (217) for guiding the transfer medium being arranged on the temperature-adjustment body (203) and/or on the cover (221).