In this paper, a novel compact quasi-optical mode converter based on anisotropic metasurfaces for high-order mode terahertz electronic devices is presented. To demonstrate the design model, a Ka-band metasurface quasi-optical mode converter that converts cylindrical waveguide TE01 mode to circularly polarized Gaussian beam is designed and fabricated. Both electromagnetic simulation and experiment results show that the Gaussian beam can be observed from 35 to 38 GHz, corresponding to over 8.5% of the bandwidth. The maximum scalar Gaussian mode content of 97.85% is observed in the experiment, and the output radiation from the metasurface quasi-optical mode converter is approximate circular polarization. This work unveils the potential of compact quasi-optical mode converter based on metasurfaces.