OsO4 is a heavy tetrahedral molecule that may constitute a benchmark for quantum chemistry calculations. Its favorable spin statistics (due to the zero nuclear spin of oxygen atoms) is such that only A(1) and A(2) rovibrational levels are allowed, leading to a dense, but quite easily resolved spectrum. Most lines are single ones, instead of complex line clusters as in the case of other heavy spherical-tops like SF6, for instance. It is thus possible to fully assign and fit the spectrum and to obtain precise experimental effective molecular parameters. The strong v(3) stretching fundamental has been studied a long time ago as an isolated band [McDowell RS, Radziemski LJ Flicker H, Galbraith HW, Kennedy RC, Nereson NG, et al. Journal of Chemical Physics 1978;88:1513-21; Bobin B, Valentin A. Henry L Journal of Molecular Spectroscopy 1987:122:229-41]. We reinvestigate here this region and perform new assignments and effective Hamiltonian parameter fits for the four main isotopologues ((OsO4)-Os-192, (OsO4)-Os-190, (OsO4)-Os-189, (OsO4)-Os-188), by considering the nu(1)/nu(3) stretching dyad. A new experimental spectrum has been recorded at room temperature, thanks to a Bruker IFS 125 HR interferometer and using a natural abundance OsO4 sample. Assignments and analyses were performed thanks to the SPVIEW and XTDS softwares, respectively [Wenger Ch, Boudon V. Rotger M. Sanzharov M, Champion J-P. Journal of Molecular Spectroscopy 2008;251:102-13]. We provide precise effective Hamiltonian parameters, including band centers and Coriolis interaction parameters. We discuss isotopic shifts and estimate the band centers for the three minor isotopologues ((OsO4)-Os-187, (OsO4)-Os-186, (OsO4)-Os-184). The Q branches of the first two of them are clearly identified in the experimental spectrum.