Multiple near-field communication contact points in smart textiles can help to unlock the full potential of applications like wireless biosignal communication with on-skin sensors. Even though textile-based near-field communication antennas can be easily produced with conductive yarns, implementing separate near-field communication circuitry for each contact point may cause significant manufacturing effort. To lower this manufacturing effort, antennas can be multiplexed by connecting them to a radio frequency switch. In this approach, an optimized multi-antenna system is realized, and the integration into a smart textile is simplified. A unique aspect of this work is that all components are assembled at a central position, with the antennas connected with long leads of conductive yarn. Tests show that even with the losses introduced with this layout, the contact points can perform successful data read operations with near-field communication tags, confirming that multiplexing systems can be used to simplify the implementation of near-field communication functionality in smart textiles.