A connection includes a widened reinforcement harness which comprises a reinforced harness, a non-deformable ferrule and a reinforcement portion which has a greater diameter than the reinforcement of the harness, the non-deformable ferrule being arranged around the harness with the reinforcement of the harness folded on the outer side of the non-deformable ferrule, a first end of the reinforcement portion being attached around the folded portion of the reinforcement of the harness, the connection further comprising an integrated coupling connector, a second end of the reinforcement portion of the widened reinforcement harness being attached to a section of the integrated coupling connector. This connection is particularly advantageous for the small harness, wherein the reinforcement of the harness has a diameter which is too small to surround the section of an integrated coupling connector.