Technologies such as absorption, adsorption, cryogenics, and membrane separation are among the leading options for CO2 capture. However, their energy-intensive nature often increases parasitic loads on plants, resulting in higher electricity costs for consumers. Recently, a cyclic adsorption method has emerged, embedding solid adsorbent particles within a porous polymeric hollow fiber matrix for use in rapid temperature swing adsorption (RTSA) systems. This paper presents a comprehensive review of recent advancements in hollow fiber–based RTSA processes for CO2 capture, emphasizing design innovations, process modeling, and simulation strategies.