During the production of teat rubbers, in particular of teat rubbers containing a high percentage of silicone, pressure is applied when the teat rubber preforms are removed, the radial expansion of teat rubber areas being appropriately limited to a maximum value. Hence, the removal can be executed automatically and at a comparatively high temperature without irreversible damage being caused to the material. The removal process can be supported by an appropriate contact surface whose contour corresponds, at least partially, to the outer contour of the preform. Furthermore, an appropriate removal device is provided.