A dialysis machine (1 13) having a haemodialysis filter (2) an inlet branch (5) carrying a dialysis solution to the filter (2) an outlet branch (6) carrying the dialysis solution from the filter (2) an artery line (3) carrying blood from a patient (P) to the filter (2) a vein line (4) carrying blood from the filter (2) to the patient (P) a number of pumps (3a, 9, 10, 16) for circulating both the blood and the dialysis solution and a glucose concentration measuring device (8) fitted to a circuit portion (3 4 6 15) in which a solution containing the dialysis-treated blood, or components of it, circulates.