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).
