The invention relates to a connection assembly (1) formed from a male connector (100) and a female connector (200) to carry out fluid transmission in the medical equipment field, in particular for a neuraxial connection, wherein: - the male connector (100) comprises a hollow conical male end-piece (110) around which a flange of the male end-piece (120) is formed, - the female connector comprises a hollow conical female end-piece (210) around which a female flange (220) is formed, - an external diameter of the male end-piece (110) being substantially equal to an internal diameter of the female end-piece (210) such that the male end-piece (110) is capable of penetrating into the female end-piece (210), and - an internal diameter of the flange of the male end-piece (120) being substantially equal to an external diameter of the female end-piece (210), such that the female end-piece (210) is capable of penetrating into the flange of the male end-piece (120), characterised in that the flange of the male end-piece (120) and the flange of the female end-piece (220) have complementary threaded means (124, 224), and in that the threaded means (124) of the flange of the male end-piece (120) extend radially from an external surface (126) of said flange of the male end-piece (120), while the threaded means (224) of the flange of the female end-piece (220) extend radially from an internal surface (226) of said flange of the female end-piece (220).L'invention concerne un ensemble de connexion (1) formé d'un connecteur mâle (100) et d'un connecteur femelle (200) pour réaliser une transmission de fluide dans le domaine de l'appareillage médical, notamment pour une connexion neuraxiale, dans lequel : - le connecteur mâle (100) comprend un embout mâle conique creux (110) autour duquel est formée une collerette d'embout mâle (120), - le connecteur femelle comprend un embout femelle conique creux (210) autour duquel est formée une collerette femelle (220), - un diamètre externe de l'emb
