A temperature control device for temperature control of a battery system has at least one battery subsystem. The temperature control device has a temperature control line for conducting a temperature control fluid and a pump device for generating a flow of the temperature control fluid in the temperature control line at least in a first flow direction. The temperature control line has at least one temperature control section which can be thermally conductively connected to the at least one battery subsystem for supplying and/or discharging thermal energy to or from the battery subsystem.