A method for ejecting a vessel (12), carried by a transporting device (10), the vessel (12) being provided with a neck (16) including a mouth (18), the transporting device (10) including: —a mobile support (28); —a gripping mandrel (30) that grips by vertical engagement with the neck (16); —an ejection face (64) mounted on the mobile support (28), the gripping mandrel (30) being mounted vertically slidable relative to the ejection face (64) to allow the gripping mandrel (30) to be extracted from the neck (16) when it slides via contact between the ejection face (64) and a bearing face (24) of the neck (16); characterized in that the bearing face (24) of the neck (16) is formed by a shoulder face that protrudes radially towards the outside relative to the mouth (18) and is arranged under the mouth (18) in the vertical direction.