The device (1) for producing a milk-based drink comprises a steam or water dispenser (5) and a container (2) for the milk that is connected, directly or indirectly, to a collector body (3) that defines an inner recess (300) into which a connection pathway (401) to said dispenser, a milk suction pathway (7) present in the container and an air suction pathway (10) open, the container (2) being removably associated with the dispenser (5) so as to be able to be separated from it for conservation of the milk present in the container (2).