A lead for active implantable medical devices comprising a chip, notably for electrode multiplexing. The lead (10) includes an insulating supporting tube (20) interposed in a flexible elongated tube, with a central bore (22) coaxial with the lumen of the lead. The supporting tube comprises on its surface at least one crossing conductive strip (28) extending in the axial direction. A chip (18) on a flexible substrate is disposed with a bent or curved conformation in a receptacle of the supporting tube isolated from the conductive strip. An electrode, e.g., for cardiac sensing/pacing, (16) on the supporting tube (20) is electrically connected to an outer conductive pad (24) of the chip. The conductive strip is connected (i) at each end (28b), face to face to a conductive connection (12), housed in the sheath, and (ii) in a central region (28a), to an inner conductive pad (26) of the chip.
