The invention is a cable assembly in which the ripcord is bonded or woven to the cable assembly's armor tape. This arrangement helps to prevent the ripcords from moving from their initial position, therefore allowing better dissection of a cable sheath and/or jacket. The cable assembly includes a cable core (e.g., soft buffer tubes surrounding optical fibers), a tape surrounding the cable core, at least one ripcord attached to the tape, and a cable jacket surrounding the tape. In a second embodiment of the present invention, a cable assembly includes a cable core having a predetermined axial length, a cable jacket for housing the cable core along the predetermined axial length of the cable core, and a ripcord disposed between the cable core and the cable jacket along the predetermined axial length, in a manner that the ripcord is contained within the predetermined axial length, but the ripcord has a length substantially longer that the predetermined axial length. In a preferred embodiment of the present invention, the ripcord is disposed along the predetermined axial length in a wavy shape, thus the ripcord is made “flexible”, alleviating damage to the cable assembly that can occur from ripcord tension.