A method for preparing a drink by passing hot water in a capsule (1), in which first at least one cut (10) extending in a linear fashion is made through the second wall (3) of the capsule (1), substantially without removing material from it. The adjacent portions (11) of the second wall (3) delimiting the cut (10) are then allowed to draw near one another again if necessary, then, by injecting hot water into the capsule, the internal pressure in the capsule is increased to cause at least partial expulsion of the air contained in it substantially without dispensing the liquid, and, then, by deformation of the second wall (3), the adjacent portions (11) delimiting the cut (10) are moved away from one another, allowing the drink to flow out. The invention also relates to an apparatus and a capsule for implementing this method.