The spatial chirp based single-shot pump-probe technique represents a pivotal technology for studying electron non-equilibrium dynamics in warm dense matter created with intense laser pulses. Notably, its time resolution can reach tens of femtoseconds. In this work, we introduce the single-shot measurement technique of ac conductivity of warm dense matter, as well as a detailed account of the experimental setup. In addition, the main factors limiting the time resolution of the system are discussed in depth. 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 has important reference for enhancing the time accuracy of single-shot measurement 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.