A shaft sealing precluding fluid from moving in a direction longitudinally of the shaft. At the same time the shaft sealing allows a motion of the shaft in axial direction, an inclination of the shaft, and may also allow a rotary motion of the shaft relative to its sealing means. The sealing means is a rolling diaphragm including a clamping flange on one end of the rolling wall thereof. The other end of the rolling diaphragm is provided with a cylindrical elastomeric member having a projection conforming substantially with the shape of a portion of reduced diameter of the shaft and engaging under pressure said portion of reduced diameter. The rolling diaphragm includes an elastomeric ply and a fabric reinforcement of the ply. The fabric reinforcement is removed from a region of the aforementioned projection of said rolling diaphragm to provide an interface between said portion of reduced diameter of, or cavity in, said shaft and said projection where the radially inward pressure of said projection is not limited by the presence of said fabric reinforcement.