A connection member for a fluid line (2) defining a fluid duct (5) with stranded signal conductors (7a and 7b) in the wall (4) thereof for the transmission of electrical signals. The connection member has a female socket into which the fluid line (2) may be inserted and in which at least one signal contact (26a and 26b) is arranged, which at the end may stick into the at least one signal conductor (7a and 7b). The penetrating part (27) is constituted by a knife edge (27a) whose width is equal to the diameter of the signal conductor (7a and 7b) to be contacted and which splits the signal conductor 7a and 7b) on penetration from the end into an outer and an inner line limb.