A pipe connection assembly is disclosed including a cylindrical hub having an interior diameter and a leading end having an exterior beveled surface that defines a leading edge of the hub; and a cylindrical elastomeric sleeve having an inner end that includes a radially inwardly projecting lip having a seat surface inclined to correspond to the beveled surface of the hub so the seat surface engages the beveled surface of the hub. The lip includes an annular stop projecting inwardly and having an interior diameter that is less than the interior diameter of the hub, thereby to define a stop surface that contacts the leading edge of the hub when the hub is inserted into the sleeve. The assembly restricts to a minimal amount the penetration of a hub component of the assembly into the cored hole of the mainline pipe to which the assembly is connected.