An appliance is arranged for frothing a body of a milk-containing liquid contained in a frothing tank. Such appliance includes an air incorporation device that is arranged to dip or to be immersed in such body of liquid during frothing for incorporating air thereinto and a steam supply arrangement having a steam outlet that is arranged to be immersed in such body of liquid during frothing for incorporating steam thereinto. The steam outlet and the air incorporation device are arranged to be at spaced apart locations in such body of liquid during frothing so as to form steam bubbles at the steam outlet separately from air bubbles that are being formed by the air incorporation device.
