Introductory paragraph, referencedGravitational microlensing [1] is a powerful technique for measuring the mass of isolated, faint or non-luminous objects in the Milky Way [2,3]. In most cases however, additional observations to the photometric light curve are required to measure accurately the mass of the microlens. Long-baseline optical/infrared interferometry provides a new and efficient way to deliver such independent constraints [4,5,6,7], as it was recently demonstrated by first interferometric observations in microlensing event TCP J05074264+2447555 ('Kojima-1') [8]. Here, we report real-time observations of gravitationally-lensed arcs in rotation around a microlens, Gaia19bld[9], made with the PIONIER instrument[10] at the Very Large Telescope Interferometer (VLTI). Our data allowed us to determine the angular separation and length of the arcs, as well as their rotation rate. Combining these measurements with ground-based photometric data enabled the determination of the microlens mass to a very high accuracy, M = 1.147 ± 0.029 M . We anticipate interferometric microlensing to play an important future role in the mass and distance determination of isolated stellar-mass black holes [11,12,13] in the Galaxy, which cannot be addressed by any other technique.