Method for washing laundry in a laundry washing machine of the type comprising: - a washing tub external to a rotatable washing drum adapted to receive laundry; - a water supply circuit to supply water into said washing tub; - a washing/rinsing products supplier to supply washing/rinsing products into said washing tub; - a draining device comprising a draining pump for draining liquid from said washing tub; the method comprising at least a draining phase (148; 148'; 148") for draining liquid from said washing tub by means of said draining device, wherein said draining phase (148; 148'; 148") comprises the steps of: a) activating (182; 182') said draining pump; b) checking (185; 185') the drainage flow rate of the liquid flowing through said draining pump, and - if said drainage flow rate of the liquid flowing through said draining pump is above or equal to a minimum flow rate threshold, then d) operating (199; 199') said draining pump and de-activating (186; 186') said draining pump when an end-draining condition is reached (194; 194'), - if said drainage flow rate of the liquid flowing through said draining pump is below a minimum flow rate threshold, then e1) operating (184; 184') said draining pump for an on-time period; e2) de-activating (186; 186') said draining pump; e3) stopping (188; 188') said draining pump for an off-time period (TOFF; TOFF(n)); and e4) going back to step a) characterized in that said step e3) is performed two or more times, said off-time period (TOFF; TOFF(n)) used in each of said steps e3) performed as second or following being varied with respect of the off-time period (TOFF; TOFF(n-1)) used in a step e3) previously performed. - a washing tub external to a rotatable washing drum adapted to receive laundry; - a water supply circuit to supply water into said washing tub; - a washing/rinsing products supplier to supply washing/rinsing products into said washing tub; - a draining device comprising a draining pump for draining liquid from said washing tub; the method comprising at least a draining phase (148; 148'; 148") for draining liquid from said washing tub by means of said draining device, wherein said draining phase (148; 148'; 148") comprises the steps of: a) activating (182; 182') said draining pump; b) checking (185; 185') the drainage flow rate of the liquid flowing through said draining pump, and a) activating (182; 182') said draining pump; b) checking (185; 185') the drainage flow rate of the liquid flowing through said draining pump, - if said drainage flow rate of the liquid flowing through said draining pump is above or equal to a minimum flow rate threshold, then d) operating (199; 199') said draining pump and de-activating (186; 186') said draining pump when an end-draining condition is reached (194; 194'), d) operating (199; 199') said draining pump and de-activating (186; 186') said draining pump when an end-draining condition is reached (194; 194'), - if said drainage flow rate of the liquid flowing through said draining pump is below a minimum flow rate threshold, then e1) operating (184; 184') said draining pump for an on-time period; e2) de-activating (186; 186') said draining pump; e3) stopping (188; 188') said draining pump for an off-time period (TOFF; TOFF(n)); and e4) going back to step a) characterized in that said step e3) is performed two or more times, said off-time period (TOFF; TOFF(n)) used in each of said steps e3) performed as second or following being varied with respect of the off-time period (TOFF; TOFF(n-1)) used in a step e3) previously performed. e1) operating (184; 184') said draining pump for an on-time period; e2) de-activating (186; 186') said draining pump; e3) stopping (188; 188') said draining pump for an off-time period (TOFF; TOFF(n)); and e4) going back to step a)