A method for air quenching a glass hollow body elongated along a main axis, including a wall having an external surface, and an internal surface formed by a bore extending in height along the main axis, is provided. The method includes simultaneously blasting air jets towards the surfaces of the glass hollow body using air blast nozzles directed towards the surfaces. External nozzles distribute air jets over the external surface of the glass hollow body and a nozzle above the bore of the glass hollow body and aligned along the main axis distributes an internal air jet over the internal surface of the glass hollow body. In a transverse plane to the main axis the internal air jet is in the form of a crown having a recess at the center.