A laundry washing machine (1) includes an outer casing (2), a washing tub (3), a rotatable drum housed in axially rotatable manner inside the washing tub (3), a detergent dispenser (7) for supplying detergent into the washing tub (3), a fresh-water supply circuit (9) for selectively channelling a flow of fresh-water from the water mains towards the detergent dispenser (7) and/or the washing tub (3), and an internal water softening device (11) capable of reducing the hardness degree of the fresh-water that the fresh-water supply circuit (9) channels towards the detergent dispenser (7) or the washing tub (3). The laundry washing machine (1) further includes at least one drawer (16, 60) which is fitted/inserted in extractable manner into a corresponding substantially basin-shaped, drawer housing (18), which is located/recessed inside the outer casing (2), and is movable in a substantially horizontally-oriented, displacement direction (d) between a retracted position in which the drawer (16, 60) is almost completely recessed into the outer casing (2), and an extracted position in which the drawer (16, 60) partly juts out from the outer casing (2). The drawer (16, 60) in turn includes: a drawer-like supporting structure (21, 61) having a substantially basin-shaped, regeneration-agent compartment (20) structured for being manually fillable with a given amount of regeneration agent, and a manually openable, lid assembly (23), which is fitted on the drawer-like supporting structure (21, 61), on top of the regeneration-agent compartment (20), and is structured to selectively close/cover the upper mouth of the regeneration-agent compartment (20).