The invention relates to a device for closing containers with closures comprising a closing head (2) that attaches the closures to the containers, wherein said closing head (2) can be moved relative to the closures with a first movement type and is arranged within a sterile space (8) with a first movement unit (4) for producing a movement of the closure with the first movement type, wherein said first movement unit (4) is arranged at least partially outside the sterile space (8), wherein the sterile space (8) is bounded by at least one first wall (12) and the device comprises a ring-shaped channel (14) into which said first wall (12) protrudes, wherein the ring-shaped channel (14) can be moved relative to the first wall (12) and can be filled with a fluid medium, and wherein the first movement unit (4) is arranged within the channel (14) at least in sections.