Abstract: A rotary shaft seal having an elastomer seat for fitting into the bore of a hub or for the attachment onto a shaft comprises a seal washer, connected to a metal enforcement ring through a elastomer intermediate layer. The elastomer intermediate layer consists of a material having a chemical endurance comparable to that of PTFE, in particular of fluorocaoutchouc, and has a thickness of less than 0.5 mm, preferably in the range of 0.05 mm to 0.5 mm. This intermediate layer connects the seal washer with the enforcement ring according to a method according to the invention by simultaneously vulcanization with the elastomer seat on the outer side of the enforcement ring, wherein the injection pressure acting during injection and vulcanization is kept away from the intermediate layer.