We report the discovery of an eclipsing binary system with mass-ratio q ∼ 0.07. After identifying a periodic photometric signal received by WASP, we obtained CORALIE spectroscopic radial velocities and follow-up light curves with the Euler and TRAPPIST telescopes. From a joint fit of these data we determine that EBLM J0555-57 consists of a sun-like primary star that is eclipsed by a low-mass companion, on a weakly eccentric 7.8-day orbit. Using a mass estimate for the primary star derived from stellar models, we determine a companion mass of 85 ± 4 M Jup (0.081 M ) and a radius of 0.84 +0.14 −0.04 R Jup (0.084 R ) that is comparable to that of Saturn. EBLM J0555-57Ab has a surface gravity log g 2 = 5.50 +0.03 −0.13 and is one of the densest non-stellar-remnant objects currently known. These measurements are consistent with models of low-mass stars.Key words. binaries: eclipsing -binaries: spectroscopic -stars: low-mass -techniques: spectroscopic -techniques: photometricstars: individual: EBLM J0555-57AbEclipsing binary stars enable empirical measurements of the stellar mass-radius relation. The low-mass regime, down to the hydrogen-burning mass limit, is poorly constrained by measurements of mass and radius, but is of particular relevance to the study of exoplanets. Stars with masses below 0.25 M are the most common stellar objects (Kroupa 2001;Chabrier 2003;Henry et al. 2006) and prove to be excellent candidates for the detection of Earth-sized planets (Berta- Gillon et al. 2016Gillon et al. , 2017Luger et al. 2017) and their atmospheric characterization (de Wit et al. 2016). Determining the properties of exoplanets requires an accurate knowledge of their host star parameters, in particular the stellar mass. This motivates the study of low-mass eclipsing binaries (henceforth EBLMs; Triaud et al. 2013;Gómez Maqueo Chew et al. 2014), to empirically measure the mass-radius relation. In this context, we report our results on the eclipsing binary EBLM J0555-57. The system was detected by the Wide Angle Search for PlanetsThe photometry tables and radial velocities are only available at the CDS and on demand via anonymous ftp to cdsarc.u-strasbg.fr (130.79.128.5)