A cooling system for use in a non-invasive medical cooling process to cool at least one portion of the body of a person by means of a cooling fluid flowing through a cooling pad (3, 4, 5), comprising: - a tank for holding cooling fluid; - a fluid outlet conduit, connected to the tank and having an outlet portion configured to be connected to an inlet for cooling fluid of at least a first cooling pad; - a fluid inlet conduit, connected to the tank and having an inlet portion configured to be connected to an outlet for cooling fluid of at least a first cooling pad; - a first pump arranged to pump cooling fluid through the fluid outlet conduit from the tank to the outlet portion, - a fluid bypass conduit connected to the inlet portion of the fluid inlet conduit and to the outlet portion of the fluid outlet conduit, thereby bypassing the tank 10, wherein the fluid bypass conduit, has a first end connected to the inlet portion of fluid inlet conduit and a second end connected to the outlet portion of the fluid outlet conduit and; - a second pump arranged between the first and the second ends (61, 62) of the fluid bypass conduit to pump cooling fluid through the fluid bypass conduit from the fluid inlet conduit to the fluid outlet conduit, characterized in, - a first non-return valve arranged between the second end of the fluid bypass conduit and the first pump to prevent cooling fluid from flowing in direction towards the first pump and; - a second non-return valve arranged between the second end of the fluid bypass conduit and the second pump to prevent cooling fluid from flowing in direction towards the second pump wherein, - the cooling system is arranged such that cooling fluid is transported from the tank to the outlet portion of the fluid outlet conduit when the first pump is operated and such that cooling fluid is transported from the inlet portion of the fluid inlet conduit to the fluid outlet portion of the fluid outlet conduit when the second pump is operated. - a tank for holding cooling fluid; - a fluid outlet conduit, connected to the tank and having an outlet portion configured to be connected to an inlet for cooling fluid of at least a first cooling pad; - a fluid inlet conduit, connected to the tank and having an inlet portion configured to be connected to an outlet for cooling fluid of at least a first cooling pad; - a first pump arranged to pump cooling fluid through the fluid outlet conduit from the tank to the outlet portion, - a fluid bypass conduit connected to the inlet portion of the fluid inlet conduit and to the outlet portion of the fluid outlet conduit, thereby bypassing the tank 10, wherein the fluid bypass conduit, has a first end connected to the inlet portion of fluid inlet conduit and a second end connected to the outlet portion of the fluid outlet conduit and; - a second pump arranged between the first and the second ends (61, 62) of the fluid bypass conduit to pump cooling fluid through the fluid bypass conduit from the fluid inlet conduit to the fluid outlet conduit, characterized in, - a first non-return valve arranged between the second end of the fluid bypass conduit and the first pump to prevent cooling fluid from flowing in direction towards the first pump and; - a second non-return valve arranged between the second end of the fluid bypass conduit and the second pump to prevent cooling fluid from flowing in direction towards the second pump wherein, - the cooling system is arranged such that cooling fluid is transported from the tank to the outlet portion of the fluid outlet conduit when the first pump is operated and such that cooling fluid is transported from the inlet portion of the fluid inlet conduit to the fluid outlet portion of the fluid outlet conduit when the second pump is operated.