This study investigates the dynamics of a naturally ventilated room in which a point source provides a steady buoyancy source, when an opposing unsteady wind occurs. The wind is modelled as a stochastic forcing, which aims to simulate realistic velocity fluctuations as observed in the lower atmosphere, due to atmospheric turbulence. By doing so, we expand the analysis already conducted for deterministic wind, following both a theoretical approach and an experimental one. Firstly, regarding the theoretical approach, we compute some numerical simulations, which highlight how the stochastic forcing affects and changes the dynamics of the system. Namely, a structural change of the mean behaviour of the system occurs: the warm–cold air interface does not fluctuate around the elevation exhibited when wind is constant, but oscillations occur around a new interface elevation, which is significantly lower.