Medical temperature control apparatus with, at least one housing, at least one fluid supply device, by means of which a fluid is provided in the housing, at least one temperature control device arranged in the housing, which controls the temperature of the fluid flowing through the housing, at least one fluid inflow device, through which the fluid is led out of the housing at a substantially predetermined temperature, at least one pump device arranged in the housing, which pressurizes the fluid flowing through the housing, and in that this at least one temperature control device comprises at least one first temperature control unit and at least one second temperature control unit, the first temperature control unit having at least one first thermoelectric element, in particular at least one Peltier element, at least one first heat exchanger element, through which fluid can flow, for transferring heat to or from the fluid and at least one first heat sink, and the second temperature control unit comprising at least one second thermoelectric element, in particular at least one Peltier element, and the second temperature control unit comprising at least one second thermoelectric element, in particular at least one Peltier element, for transferring heat to or from the fluid, in particular at least one Peltier element, at least one second heat exchanger element, through which fluid can flow, for transferring heat to or from the fluid and at least one second heat sink, and the medical temperature control apparatus is configured to generate at least one air flow, a first air flow being directed towards the at least one first heat sink of the first temperature control unit and a second air flow being directed towards the at least one second heat sink of the second temperature control unit, characterized in that the at least one first heat sink and the at least one second heat sink are spatially separated from one another by the pump device. at least one housing, at least one fluid supply device, by means of which a fluid is provided in the housing, at least one temperature control device arranged in the housing, which controls the temperature of the fluid flowing through the housing, at least one fluid inflow device, through which the fluid is led out of the housing at a substantially predetermined temperature, at least one pump device arranged in the housing, which pressurizes the fluid flowing through the housing, and in that this at least one temperature control device comprises at least one first temperature control unit and at least one second temperature control unit, the first temperature control unit having at least one first thermoelectric element, in particular at least one Peltier element, at least one first heat exchanger element, through which fluid can flow, for transferring heat to or from the fluid and at least one first heat sink, and the second temperature control unit comprising at least one second thermoelectric element, in particular at least one Peltier element, and the second temperature control unit comprising at least one second thermoelectric element, in particular at least one Peltier element, for transferring heat to or from the fluid, in particular at least one Peltier element, at least one second heat exchanger element, through which fluid can flow, for transferring heat to or from the fluid and at least one second heat sink, and the medical temperature control apparatus is configured to generate at least one air flow, a first air flow being directed towards the at least one first heat sink of the first temperature control unit and a second air flow being directed towards the at least one second heat sink of the second temperature control unit, characterized in that the at least one first heat sink and the at least one second heat sink are spatially separated from one another by the pump device.