Process for protecting fiber-reinforced, carbon-containing composites whose matrix comprises, at least in the outer layer, silicon carbide (SiC) and also silicon (Si) and/or silicon alloys against oxidation, which comprises the steps a) impregnation of the composite with an aqueous, phosphate-containing solution, b) drying, c) heat treatment at a temperature which is at least sufficient to convert the dried solution into insoluble compounds which are suitable for forming a self-healing glass, wherein the composite is treated oxidatively to form silicon oxide (SiO₂) either prior to step a), between steps a) and b) or during or after step b) and/or c).