A dialysis circuit (1; 11; 21; 31) of a dialysis machine operating according to the haemodialysis or haemofiltration technique and comprising a regeneration system (7; 12; 27; 32) of the dialysis solution delivered from the filter or of the ultrafiltrate, to allow re-use thereof respectively as dialysis solution fed into the filter or as reinfusion solution. The regeneration system (7; 12; 27; 32) comprises a filtration device (8; 13; 28; 33) included in the group composed of a nanofiltration filtration device, a microfiltration filtration device or a reverse osmosis filtration device.