Within the AugerPrime upgrade, the Pierre Auger Observatory is currently being equipped with additional detectors and improved readout electronics. In the course of this upgrade, each of the 1660 Water-Cherenkov surface detectors will also be equipped with an integrated radio antenna for measurements in the 30-80 MHz band. These radio antennas will allow us to measure the electromagnetic component of inclined air showers with zenith angles above 65°. Simultaneous measurement of the muon content of inclined air showers by the Water-Cherenkov Detectors then provides mass-composition information complementary to the combined measurements with Water-Cherenkov and Scintillation detectors used at zenith angles below 60°. In this talk, we will discuss the expected performance and scientific potential of this upcoming Radio Detector of the Pierre Auger Observatory.