A pressure sensor for capturing pressures of up to 1000 bar includes a sensor assembly and a housing sleeve for accommodating the sensor assembly. Furthermore, the pressure sensor includes a membrane in mechanical connection with the housing sleeve and operative connection with the sensor assembly for transmitting a pressure. Pressure acts in an axial direction on the membrane and in a radial direction on the housing sleeve. The housing sleeve includes a constriction which locally increases an elasticity of the housing sleeve. The housing sleeve includes a reinforcement which locally reduces an elasticity of the housing sleeve. At high pressure, locally induced changes in the elasticity of the housing sleeve result in a reversible change in length of the housing sleeve, both in the radial direction and in the axial direction.