Assembly having a dental implant and a prosthetic element, which dental implant comprises a body arranged to be implanted in the jawbone, which prosthetic element comprises an intra-implant part and an extra-implant part, said body comprising an internal cavity intended to receive the intra-implant part of the prosthetic element, said prosthetic element being a single-piece element the intra-implant part of which is formed by a tenon, arranged to be sealed or glued in the cavity, and the extra-implant part of which is configured in the form of an attachment member arranged so as to apply a dental prosthesis directly thereto, said intra-implant part having an essentially smooth wall provided with at least one discharge groove.