A medical electrical lead that includes a lead body and at least one tubular electrode sub-assembly positioned over and attached to the external surface of the lead body. The lead body includes at least one elongated conductive element, such as a cable, that is electrically connected to an electrode of the tubular electrode sub-assembly. The tubular electrode sub-assembly includes a tubular liner and an electrode embedded in the outer surface of the liner. In some embodiments, only a portion of the inner surface of the tubular liner is attached to the lead body which may potentially improve flexibility of the medical electrode lead in the area occupied by the tubular electrode sub-assembly.