Tool for creating a perforation or cavity in a bone or bone structure (OS) in contact with a sinus membrane (MS), the tool including a drill (22,24) having a free end and a channel (21) adapted for supplying a liquid under pressure to the free end, the tool further including a source of the liquid under pressure such that the liquid flows partially into and through the bone or bone structure toward the membrane while drilling the bone or bone structure with the drill, which allows to perform a progressive detachment of the membrane when the drill is close to the membrane while still being inside the bone or bone structure, and before completely piercing the bone or bone structure, wherein the tool further includes a flow adapter for diverting a portion of the liquid after entering the channel (21) of the drill, such that a second flow (34) of the liquid supplied to the free end of the drill is smaller than or equal to a first flow (33) of the liquid entering the channel.
