An orbital solution for the MACHO*05:34:41.3-69:31:39 eclipsing binary system is presented, based on the published light curve and spectral data obtained with the 2.15-m telescope at CASLEO. Based on these spectroscopic observations, the binary components of this system were classified as O3 If* and O6:V respectively. The radial velocity data along with the published light curve were analysed with the Wilson-Devinney code to derive the following masses and radii for the components of this system: M1 = 41 ± 1.2M⊙, R1 = 9.6 ± 0.02R⊙, M2 = 27 ± 1.2M⊙ and R2 = 8.0 ± 0.05R⊙. The solution shows that the system is in overcontact, as one would expect from the derived masses and the very short orbital period (∼1.4d).