A polymer composition comprising at least one thermoplastic polyurethane (TPU) with a Vicat softening point (in accordance with ISO 306/A50) below 80° C. and from 5 to 95% by weight of at least one polymer obtainable via free-radical polymerization, based on the entirety of TPU and of the polymer obtainable via free-radical polymerization, where the polymer obtainable via free-radical polymerization has been bonded in the form of comb polymer, graft polymer, or copolymer to the TPU, is particularly suitable for injection-molding applications.