An integrated device (1) for heating and oxygenating blood in an extracorporeal blood circuit, comprising a shell-and-tube heat exchanger module (2) provided with a coupling (4) to a blood supply line and with two couplings (5,6) respectively for the intake and discharge of the water designed to exchange heat with the blood ports (16) are also provided for the passage of the blood toward an oxygenator module (7) of the hollow-fiber type which is located at the peripheral region of the heat exchanger and is provided with a coupling (14) to a blood discharge line the device further comprises means adapted to direct the flow of blood along a turbulence-free path and with optimum distribution within the two modules.