Sorption separation processes, by which a solute is removed from a gas or liquid stream by preferential sorption into a solid sorbent, traditionally utilize spherical or granular sorbent particles. This study examines the performance of fiber sorbents by model analyses. It concentrates on an efficiency parameter, defined to compare the combined space and power consumption efficiency of sorption operations. It is shown that the utilization of fiber sorbents may increase the efficiency of a sorption process by approximately 1 magnitude order as a result of the high void fraction of a packed fiber bed. The advantages of the efficiency improvement are investigated for the most common sorption operation modes.