A heat exchanger has a multi-lumen tubing having one end connected to a supply fitting and another end connected to a return fitting. The tubing has a central lumen, a middle lumen that surrounds the central lumen and an outer lumen that surrounds the middle lumen. When infusate traverses along the heat exchanger, it is heated by the heating fluid that flows along the central lumen, and also by the rerouted heating fluid that flows along the outer lumen of the tubing. The heat exchanger is fluidly coupled to a heater by its inlet and outlet so that the temperature of the heating fluid for warming the infusate is maintained at a predetermined temperature.
