The present invention relates to a method for treating laundry in a laundry washing machine (1; 201; 301; 401) of the type comprising: a washing tub (3) external to a rotatable perforated washing drum (4) adapted to receive laundry; a water supply circuit (5) to supply water into the washing tub (3); a detergent supplier (60) to supply detergent (D) into the washing tub (3); a rinse additive supplier (70) to supply at least one rinse additive (S) into the washing tub (3); a first recirculation circuit (30) suitable for withdrawing liquid from the bottom region (3a) of the washing tub (3) and for re-admitting such a liquid into the bottom region (3a) of the washing tub (3). The method comprises a washing phase (120) during which the laundry is washed with introduction of water and detergent (D) into the washing tub (3) and tumbled by rotation of the washing drum (4), at least one successive draining phase (125) for draining liquid from the washing tub (3) and at least one following rinsing cycle (130a, 130b,..., 130n; 130'n; 230a, 230b,..., 230n) during which the laundry is treated with the rinse additive (S). The rinsing cycle (130n; 130'n; 230n) comprises the steps of: introducing (140; 140'; 240) a quantity (Qs) of rinse additive (S) into the washing tub (3); introducing (140; 140'; 240) a first quantity (Q1w) of water (W) into the washing tub (3); activating (141; 141'; 241) the first recirculation circuit (30) for withdrawing liquid from the washing tub (3) and re-admitting the liquid into the washing tub (3) in such a way that the rinse additive (S) is diluted with the first quantity (Q1w) of water (W) at the bottom region (3a) of the washing tub (3); introducing (142; 142') the diluted rinse additive into the perforated washing drum (4) in order to be absorbed by said laundry.