A machine (1) for dispensing a beverage (50) has: an outlet (4) for dispensing said beverage; a user-recipient support (5) movable within such machine from a position for supporting a smaller user-recipient (51) under the outlet to a position for placing a larger user-recipient (52) under the outlet; and means for stopping movement of the user-recipient support in at least one of said positions. The stopping means comprise a means (57, 58) for fastening the user-recipient support in said at least one of said positions.