Abstract: The sealing system consists of a commercially-available shaft seal (2), having a covering ring (3) to protect the shaft seal dirt and from exposure to the atmosphere. The covering ring (3) pre-arranged separately outside the conventional flexible shaft seal (2) and is made of a material which is specially suited for drying running, having high strength values and low internal damping, and is designed with a Z or S-shaped intermediate wall (6) which has a radially elastic action. The seal gap (8) is covered, on the side exposed to contamination, first by a scraper lip (12) having radial preloading, and then by a cylindrical jacket region (10) of a guide ring (16) so that the lip (12) can follow the eccentric movements of the rotating machine part (1).