The neutral matter distribution from the interstellar medium (ISM) located i n the vicinity of the Galactic Wolf-Rayet (WR) stars WR132 and WR140 has been examined by means of the H I 21-cm line observations obtained with high angular resolution observations. The most interesting discoveries are the presence of huge ovoidal H I minimum spanning the velocity range +13 to +21 km/s (WR132) and -18 to -7 km/s (WR140). These minima were created, very likely, by the join t action of the progenitor of both WR stars and the WR star itself. Inside each cavity, two minima are clearly discernible. The WR star is offset with respect to either the geometrical centre of the main H I void or the inner H I minima. The dual H I minimum geometry observed inside the main H I cavity, a feature also seen in the H I distribution od the ISM located close to other Galactic WR stars, may be a consequence of the interaction process itself.