A tubular sleeve is configured to grasp a small part, move it, and place it in a correct location in a patient's mouth. The tubular sleeve comprises a picking end; a connection end having a connection end piece configured to connect to a suction system; and an inner part between the picking end and the connection end, the inner part being equipped with a sealing flap configured to cooperate with a control device to move the sealing flap between an open position and a closed position. The sealing flap, in the open position, allows passage of aspirated air flow from the suction system to pick up and suction the small part, and the sealing flap, in the closed position, blocks the aspirated air flow to separate the small part from the tubular sleeve.