The press fitting for a pipe is provided with a fitting element which comprises a supporting element onto which a pipe to be connected can be pushed. Furthermore, the press fitting comprises a compression sleeve which has on its circumferential surface a compression region corresponding to the region a pressing tool acts on the compression sleeve during the compression thereof. A plastic ring is situated on the outside of the compression sleeve and is secured thereon against movements in the axial direction of the compression sleeve wherein the plastic ring has at least one axial projection which extends right into the compression region of the compression sleeve and which can be destroyed when the pressing tool acts on the compression sleeve and/or is secured so that it can be separated from the plastic ring.