The Neptune desert is a feature seen in the radius-period plane, whereby a notable dearth of short period, Neptune-like planets is found. Here, we report the Transiting Exoplanet Survey Satellite (TESS) discovery of a new short-period planet in the Neptune desert, orbiting the G-type dwarf TYC 8003-1117-1 (TOI-132). TESS photometry shows transit-like dips at the level of ∼1400 ppm occurring every ∼2.11 d. High-precision radial velocity follow-up with High Accuracy Radial Velocity Planet Searcher confirmed the planetary nature of the transit signal and provided a semi-amplitude radial velocity variation of 11.38 ^{+0.84}_{-0.85} m s-1, which, when combined with the stellar mass of 0.97 ± 0.06 M☉, provides a planetary mass of 22.40^{+1.90}_{-1.92} M⊕. Modelling the TESS light curve returns a planet radius of 3.42^{+0.13}_{-0.14} R⊕, and therefore the planet bulk density is found to be 3.08^{+0.44}_{-0.46} g cm-3. Planet structure models suggest that the bulk of the planet mass is in the form of a rocky core, with an atmospheric mass fraction of 4.3^{+1.2}_{-2.3} per cent. TOI-132 b is a TESS Level 1 Science Requirement candidate, and therefore priority follow-up will allow the search for additional planets in the system, whilst helping to constrain low-mass planet formation and evolution models, particularly valuable for better understanding of the Neptune desert.