A method for producing an inorganic silica gel fiber or aerogel fiber, comprising the following steps: a) extrusion of a gel, in particular a hydrogel or alcogel, by means of a spinneret directly into a coagulation bath to form at least one filament, b) stretching of the filament in the coagulation bath, c) regeneration of the filament by extraction from the coagulation bath, and d) supercritical drying or freeze drying in order to convert the filament into a silica fiber, in particular an aerogel fiber.