A compressor arrangement for operating a compressed air supply installation includes a pneumatic compressor and an electric motor arranged inside a drive housing, the electric motor having an internal stator and an external outer rotor. The external outer rotor is arranged in a rotatable manner about the internal stator. The external outer rotor is supported in a rotatable manner about a center axis with respect to the drive housing via a bearing arrangement. The bearing arrangement has at least one bearing. The external outer rotor is supported by the bearing arrangement on an outer circumference of the outer rotor.