We present Transiting Exoplanet Survey Satellite (TESS) observations of a cataclysmic variable (CV) SDSS J093537.46+161950.8. The TESS light curve reveals eclipse-like features and confirms the previously reported orbital period of 0.06406(1) d. In addition, it shows previously unknown modulations with periods of 0.06584(2) d and 2.36(2) d, corresponding to the positive superhump and disc-precession periods, respectively. These periodicities likely arise from the prograde precession of an eccentric accretion disc. The system’s stable long-term brightness, lack of outbursts, absolute magnitude, and spectral properties imply that it is unlikely to be an SU UMa-type dwarf nova. It may instead belong to the group of high mass-transfer CVs below the period gap, either a nova-like system or a high-luminosity intermediate polar