Alternative methods to RT-PCR for SARS-CoV-2 detection are investigated to provide complementary data on viral proteins, increase the number of tests performed, or identify false positive/negative results. Here, we have developed a simple mass spectrometry assay for SARS-CoV-2 in nasopharyngeal swab samples using common laboratory reagents. The method employs high sensitivity and selectivity targeted mass spectrometry detection, monitoring nine constitutive peptides representative of the three main viral proteins and a straightforward pellet digestion protocol for convenient routine applications. Absolute quantification of N, M, and S proteins was achieved by addition of isotope-labeled versions of best peptides. Limit of detection, recovery, precision, and linearity were thoroughly evaluated in four representative viral transport media (VTM) containing distinct total protein content. The protocol was sensitive in all swab media with limit of detection determined at 2 × 103 pfu/mL, corresponding to as low as 30 pfu injected into the LC-MS/MS system. When tested on VTM-stored nasopharyngeal swab samples from positive and control patients, sensitivity was similar to or better than rapid immunoassay dipsticks, revealing a corresponding RT-PCR detection threshold at Ct ∼ 24. The study represents the first thorough evaluation of sensitivity and robustness of targeted mass spectrometry in nasal swabs, constituting a promising SARS-CoV-2 antigen assay for the first-line diagnosis of COVID-19 and compatible with the constraints of clinical settings.