An extracorporeal blood treatment apparatus is provided comprising a filtration unit (2) connected to a blood circuit (17) and to a dialysate circuit (32), a preparation device (9) for preparing and regulating the composition of the dialysis fluid, and a sensor (11) for measuring conductivity of the dialysate (i.e. spent dialysis fluid); a control unit (12) configured for setting a sodium concentration in the dialysis fluid and after setting the dialysis fluid at the initial set point, circulating the dialysis fluid and blood through the filtration unit (2), measuring an initial conductivity value of the dialysate at the beginning of the treatment, and calculating, based on the measured initial conductivity value of the spent dialysis fluid and on the corresponding conductivity value of the dialysis fluid, the value of the initial plasma conductivity, said circulating the dialysis fluid up to the calculating of the initial plasma conductivity being performed maintaining the dialysis fluid conductivity substantially constant.