A tampon for feminine hygiene is provided having a longitudinal body showing in compressed condition a length and a width. The tampon includes compressed absorbent fibrous material and has an outer circumferential surface which is provided with longitudinal grooves. The longitudinal grooves are separated from each other by longitudinal ribs. A plurality of discrete indentations are arranged in the longitudinal direction and flanked by two longitudinal grooves. At least one indentation is spatially separated from the flanking longitudinal grooves. Some embodiments include a press and method for a tampon production.