You "may" want to strip it out depending on the gauge of the wire. The big thing to consider though is the outer shield --- between the twisted pair and the outer covering there should be some type of shielding material. Depending on the cable, this could be a copper shield. If it is a 600 pair cable, then it's probably 24 gauge; maybe even 26 gauge. It might be 22 gauge.....but doubtful.