The disclosure relates to a method of bonding by molecular adhesion comprising the positioning of a first wafer and of a second wafer within a hermetically sealed vessel, the evacuation of the vessel to a first pressure lower than or equal to 400 hPa, the adjustment of the pressure in the vessel to a second pressure higher than the first pressure by introduction of a dry gas, and bringing the first and second wafers into contact, followed by the initiation of the propagation of a bonding wave between the two wafers, while maintaining the vessel at the second pressure.