A process of making a yarn having weavibility features, comprising the steps of providing a fine yarn which comprises an intimate blend of first fibers and polyvinyl alcohol fibers. Advantageously, before spinning, said fine fiber yarn undergoes a sizing step, to obtain a sized fine yarn having an increased tensile strength as compared with the tensile strength of the original fine yarn. The first fibres are selected from natural animal fibers, vegetable fibers, non-water- soluble synthetic polymer fibers, man-made natural polymer fibers, continuous filaments of animal origin and/or discontinuous filaments of animal origin.