A dialysis machine having an extracorporeal blood circuit having an arterial pipe and a venous pipe respectively connected to an inlet and an outlet of a blood compartment of a filter having a blood compartment and a dialysis liquid compartment separated by a semi-permeable membrane; means for determining a sequence of infusion of a liquid in the extracorporeal blood circuit, from at least one characteristic value (FF, TMPave, Kuf) correlated with the concentration of the blood (CE) and/or a filtration efficiency of the filter; and means for infusing the infusion solution in the arterial pipe and in the venous pipe in accordance with the determined infusion sequence.