This invention relates to a process for the manufacture of chemically bonded, textile sheet material based on synthetic fibers, in which a polymer material in the form of a solution or dispersion is incorporated in the flexible textile sheet material and the polymer material is then coagulated, which comprises impregnating the textile sheet material containing synthetic fibers with a liquid binder system containing (a) a liquid aqueous dispersion of an elastomer, (b) a liquid aqueous solution of a hydrophilic polymer, and (c) a liquid aqueous emulsion of a long-chain aliphatic monoisocyanate and/or diisocyanate, or an aqueous dispersion of an ethylene imine reaction product of a monoisocyanate and/or a diisocyanate; heating the textile sheet material to the coagulating temperature of the elastomer; further heating the impregnated textile sheet material to a temperature in excess of 100*C, but below the softening temperature of the fibers contained in the textile sheet material; treating the sheet material with a washing liquid; and drying the sheet material.