A connecting element produces a pipe connection between the connecting element and a plastic pipe or a metal-plastic composite pipe by using axial pressing technology. The connecting element has at least one support body provided with circumferential external ribs for press-fitting an expanded end of the pipe onto, and includes at least one circumferential collar, wherein the connecting element between the circumferential collar and the nearest circumferential external rib to the circumferential collar includes a pre-stop for limiting the sliding onto of the expanded end of the pipe. The distance between the edge of the pre-stop facing the circumferential external ribs and the edge of the circumferential collar facing the pre-stop is 0.10 times to 0.30 times the length of the support body. A pipe connection between an expanded end of an all-plastic pipe or of a plastic composite pipe and a connecting element includes an expanded end of an all-plastic pipe or of a plastic composite pipe; and the above-described connecting element.