The invention relates to a system for a drinks extraction machine using capsules introduced into a capsule cage, said system comprising slides allowing a capsule to be guided into the machine, held and then released in order to move into an extraction position, said cage being moved between a retracted position allowing the insertion of a capsule into the machine, and a position for the extraction of the drink wherein the capsule is held in the cage against an extraction plate, said slides being moved by actuating means in a coordinated manner with the cage, but with a delay, in such a way as to release the capsule introduced into the machine for the insertion thereof into the cage when said cage moves back into the extraction position thereof, and only to go back to the initial position once the used capsule has been extracted from the cage.
