A thermoplastic polyurethane having a glass transition temperature of the soft phase of not more than −25° C. measured using DMA and a heating rate of 2K/min at 1 Hz under torsion based on DIN EN ISO 6721: 2016; maximum G″ can be obtained by a process at least including the reaction of a polyol composition including a polypropylene glycol, wherein the proportion of the secondary terminal OH groups based on the total number of terminal OH groups of the polypropylene glycol is in the range of more than 90%, with a polyisocyanate to obtain a polyol composition including a prepolymer and the reaction of the polyol composition including the prepolymer with a polyisocyanate composition including at least one polyisocyanate and at least one chain extender having a molecular weight