Embodiments of the invention include a method for making a partially bonded optical fiber ribbon. The method includes providing a linear array of optical fibers, and applying a bonding matrix material randomly to at least a portion of at least two adjacent optical fibers. The bonding matrix material is applied randomly to the adjacent optical fibers in such a way that the linear array of optical fibers forms a partially bonded optical fiber ribbon. The bonding matrix material applied randomly to the adjacent optical fibers is dense enough to allow the resulting partially bonded optical fiber ribbon to lay substantially flat. Also, the bonding matrix material applied randomly to the adjacent optical fibers is sparse enough to allow the resulting partially bonded optical fiber ribbon to be rolled into a substantially circular shape.