We propose the use of holographic optical elements (HOEs) to make 1XN couplers for single-mode fibers. The main advantage of this approach is that each HOE is made with the particular fibers that it is intended for, and automatically adjusts to their locations, which need not be chosen in any particular manner. A number of possible techniques are considered. All require the use of a focusing element at some point in the process, but some do not use a lens in the final device; clearly that situation is preferred. At this time, a transmission hologram which generates a time-reversed replica of the output of the original N fibers looks most attractive. In theory, the overall efficiency of such a holographic coupler can approach 100%, regardless of the value of N. The fabrication technique is also virtually the same for all N. For these reasons, this method could be particularly attractive for large values of N, where more conventional techniques become less efficient, and more costly. In this paper we present theoretical and practical considerations concerning the fabrication of these devices. We also describe preliminary experiments which we have performed, and point to promising experimental techniques for future work.