A disposable absorbent article is claimed that comprised a backsheet and an absorbent core and a core coversheet or topsheet, that in use faces the wearer, and one or more cuffs (25, 26), comprising one or more longitudinally extending elastic laminate portion (s) (10), formed by at least an elastic material (12) attached to a supporting sheet (20) of said cuff (25, 26), said laminate portion (s) (10) comprising in at least relaxed and partially contracted state a body-facing surface with a multitude of wrinkles, and whereby said elastic laminate portion (10) has an absolute contracted length L, and a fully stretched absolute length Ls, whereby at a partial elongation of the elastic laminate potion (10) of ε=0.5: a) said wrinkles have an average wrinkle height Hw of less than 600 micrometers; and b) said laminate portion (10) has an average wrinkle density Dw between 5 and 10 wrinkles per cm.