The spatial chirp based single-shot pump-probe technique represents a pivotal technology for studying electron non-equilibrium dynamics in ward dense matter created with intense laser pulses. Notably, its time resolution is capable of reaching tens of femtosecond. In this paper, we introduce the single-shot measurement technique of ac conductivity of warm dense matter, along with a detailed account of the experimental setup. In addition, we conduct an in-depth exploration of the principal factors constraining the system's time resolution. We show the system can achieve a resolution of 13.8 femtoseconds. Nevertheless, during practical application, several aspects, namely the calibration of the zero-delay, the depth of field of the imaging system, and the low-pass filtering effect inherent in the imaging system, will exert a substantial influence on the time-resolution. This research holds great significance as a reference for enhancing the time accuracy in single-shot measurements of ac conductivity of warm dense matter. Moreover, it serves as a potent tool for the in-depth study of the ultrafast dynamic processes of materials under strong-field conditions.