Fibres, fibre webs or fibre aggregates made of polyphenylene sulphide (PPS) or of mixtures of PPS with other polymers are produced by a melt-spinning process where the melt filaments are drawn out and cooled down to below the melt temperature by a gaseous medium flowing essentially parallel thereto at sonic or supersonic speed, this simultaneous deformation and cooling giving rise to amorphous fine or extremely fine fibres of finite length which are deposited to form a fibre web or fibre aggregate