A sliding sleeve 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; a connecting element having at least one support body provided with circumferential external ribs, onto which the expanded end of the all-plastic pipe or of the plastic composite pipe is slid, and at least one circumferential collar; and a sliding sleeve made of elastically deformable polymer material axially slid onto the expanded end. The connecting element includes a pre-stop between the circumferential collar and the nearest circumferential external rib to the latter. The pre-stop constitutes a limitation for sliding onto the end of the pipe. The end of the sliding sleeve facing the circumferential collar protrudes beyond the end of the pre-stop facing the circumferential external rib.