The portion has a heat-shrinking film (1) made of thermoplastic material, and a set of filaments (2) attached to a surface of the film and made of partially oriented yarn or low oriented yarn. Each filament has a series of loop sections (4) alternating with a series of fixing sections, where a circular cross-sectional area of one of the loop sections is less than an elliptical or oval cross-sectional area of one of the fixing sections. The filaments are attached to the film along the fixing sections, while the loop sections are arranged remote from the film to form loops. An independent claim is also included for a method for fabricating a self-adhesive female portion.