A hydrostatic mounting of longitudinally displaceably arranged machine parts, which have pressure pockets for hydraulic fluid for building up a hydrostatic pressure between two machine parts, gaps for the hydraulic fluid which are adjacent to the pressure pockets and are delimited by gap faces of the two machine parts, drainage for the reception of hydraulic fluid, and at least one seal arranged between the machine parts and surrounding the drainage sealing against leakage of hydraulic fluid out of the hydrostatic mounting. At least one circumferential portion of the seal has an outer sealing lip and an inner sealing lip. The inner sealing lip is adjacent to the gaps, and a vacuum-loadable drainage portion of the drainage is arranged between the two sealing lips.