Single-pixel imaging (SPI) uses modulated illumination light fields and the corresponding light intensities to reconstruct the image. The imaging speed of SPI is constrained by the refresh rate of the illumination light fields. Fiber laser arrays equipped with high-bandwidth electro-optic phase modulators can generate illumination light fields with a refresh rate exceeding 100 MHz. This capability would improve the imaging speed of SPI. In this study, a Fermat spiral fiber laser array was employed as the illumination light source to achieve high-quality and rapid SPI. Compared to rectangular and hexagonal arrays, the non-periodic configuration of Fermat spiral mitigates the occurrence of periodic artifacts in reconstructed images, thereby enhancing the imaging quality. A high-speed data synchronous acquisition system was designed to achieve a refresh rate of 20 kHz for the illumination light fields and to synchronize it with the light intensity acquisition. We achieved distinguishable imaging reconstructed by an untrained neural network (UNN) at a sampling ratio of 4.88 %. Imaging frame rate of 100 fps was achieved with an image size of 64×64 pixels. In addition, given the potential of fiber laser arrays for high power output, this SPI system with enhanced speed would facilitate its application in remote sensing.