A laundry washing machine comprising an outer casing and, inside said outer casing, a washing tub, a rotatable drum housed in axially rotatable manner inside the washing tub and structured for housing laundry to be washed, a detergent dispenser which is structured for supplying a detergent into the washing tub, a fresh-water supply circuit which is structured for selectively channelling a flow of fresh water from a water mains towards the detergent dispenser and/or the washing tub, and an internal water softening device capable of reducing a hardness degree of the fresh water directed towards the detergent dispenser or the washing tub; the laundry washing machine furthermore comprising at least a first drawer (16, 60) which is fitted/inserted in extractable manner into a corresponding drawer housing (18, 61) located/recessed inside the outer casing, and is movable in a displacement direction (d) between a retracted position in which said first drawer (16, 60) is almost completely recessed into the outer casing, and an extracted position in which said first drawer (16, 60) partly juts out from the outer casing; said first drawer (16, 60) comprising a drawer-like supporting structure (21, 62) which has a substantially basin-shaped, regeneration-agent compartment structured for being manually fillable with a given amount of consumable salt or other regeneration agent; the laundry washing machine being characterized in that said first drawer (16, 60) additionally comprises a manually openable, upper lid assembly which is fitted on an upper mouth of said regeneration-agent compartment so as to move together with said drawer-like supporting structure (21, 62), whereby said upper lid assembly is structured to selectively close/cover the upper mouth of said regeneration-agent compartment, and is structured to receive, at least when said first drawer (16, 60) is placed in the retracted position, a flow of fresh water and to channel said fresh water into the beneath-located regeneration-agent compartment. the laundry washing machine furthermore comprising at least a first drawer (16, 60) which is fitted/inserted in extractable manner into a corresponding drawer housing (18, 61) located/recessed inside the outer casing, and is movable in a displacement direction (d) between a retracted position in which said first drawer (16, 60) is almost completely recessed into the outer casing, and an extracted position in which said first drawer (16, 60) partly juts out from the outer casing; said first drawer (16, 60) comprising a drawer-like supporting structure (21, 62) which has a substantially basin-shaped, regeneration-agent compartment structured for being manually fillable with a given amount of consumable salt or other regeneration agent; the laundry washing machine being characterized in that said first drawer (16, 60) additionally comprises a manually openable, upper lid assembly which is fitted on an upper mouth of said regeneration-agent compartment so as to move together with said drawer-like supporting structure (21, 62), whereby said upper lid assembly is structured to selectively close/cover the upper mouth of said regeneration-agent compartment, and is structured to receive, at least when said first drawer (16, 60) is placed in the retracted position, a flow of fresh water and to channel said fresh water into the beneath-located regeneration-agent compartment.