A seal that provides sealing between a rotatable shaft and a housing has a stationary part for connection to the housing and a rotary part for rotation with the shaft. The rotary part includes a sleeve for mounting on the shaft. One end of the sleeve is provided with a non-elastometric sealing arrangement. The sealing arrangement has sealing surfaces for contacting outer circumferential surfaces of the sleeve and the shaft as well as means for effecting sealing engagement between each of said sleeve and said shaft and a respective sealing surface.