A top adapted to match and close from above a cabinet of a laundry drying appliance is provided. The top is formed as a ready-to-mount part ready to be mounted to the cabinet and forming a moisture condensing module for dehydrating drying air used to dry laundry within a drying drum of the laundry drying appliance. The top has a drying air inlet for receiving moisture-laden drying air, a drying air outlet for delivering demoisturized drying air, fluid passageways defined thereinside from the drying air inlet to the drying air outlet for the passage of the drying air to be dehydrated and a moisture condenser arranged inside the fluid passageways. The top includes, integrally formed therein, at least one structural part of the appliance, the at least one structural part of the appliance having at least one of: a part a housing of a fan for propelling the drying air; a drying air delivery duct connectable to a drying air inlet of the drying drum for delivering the drying air into the drying drum; a seat for a container of detergents/softener for washing laundry; a condense water collector for collecting condense water released by the moisture-laden drying air; at least part of a condense water draining system; a support for at least one water inlet valve for selectively allowing the intake of water from a water main; and at least part of a water circuit for delivering water to wash the moisture condensing means.