The invention concerns the use, in a composition for textile care in aqueous or wet medium, of a non-ionic polysaccharide whereof the native skeleton is formed of a main chain comprising similar or different anhydrohexose units, and branches including at least an anhydropentose and/or anhydrohexose unit. The anhydrohexose and/or anhydropentose units of the native skeleton being modified by at least a non-ionic group. The composition is designed for washing and/or rinsing and/or softening, prespotting textile articles, drying wet clothes in a dryer or for facilitating ironing.