A spindle stabilizer assembly for use in connection with a rolled material dispenser that dispenses a rolled material. The spindle stabilizer assembly includes a spindle having a larger diameter part and a smaller diameter part, where the smaller diameter part is partially inserted into the larger diameter part and is slidable relative thereto against the bias of a spring. Strips of tape are axially formed to the larger diameter part and the larger diameter part is slid into a stabilizing tube, where the tape frictionally slows the rotation between the spindle and the tube. A friction engagement is provided between an outer diameter of the tube and the rolled material that allows the rolled material to rotate relative to the tube under a reasonable force so that the rolled material can be easily torn off the roll.