In an assembly for sealing a liquid region from a gas region across an annular surface of a rotating shaft in turbomachinery, having a plurality of adjoining annularly sealing ring segments facing the rotating shaft, each sealing ring segment including a dead end annular groove formed in a radially inwardly facing bearing surface at a position closer to the liquid region than to the gas region when the segment is positioned proximate the shaft surface, the annular dead end groove extending arcuately in the direction of shaft rotation, each segment having a circumferentially extending tongue at one end and a corresponding circumferentially recessed opening as the remaining end of the segment so that adjacent segments join in a tongue and groove fit, the improvement comprising at least one diagonal groove formed in the bearing surface of each segment and extending from an edge of the segment proximate the gas region to a position of communication with the dead end annular groove that is downstream, from a mouth of the diagonal groove at the segment edge, with respect to rotary movement of the shaft along the segment bearing surface, and a passageway connecting the dead end of the annular groove that is downstream with respect to rotary movement of the shaft along the segment bearing surface with the exterior surface of the opening receiving the tongue of the adjacent segment.