A dredging apparatus (24) works on the seabed (14). It is especially intended for the removal of cuttings gathered around a bore hole mouth at seabed (14), the removal being carried out by means of an ejector (30, 40) having coupled thereto a suction hose (32) and a conveyor pipe (34), respectively, for moving the cuttings to another place on the seabed (14). The dredging apparatus (24) comprises a drive motor (22), a pumping device (38) and an ejector (30, 40), the drive motor (22) being adapted to drive the pumping device (38) which, in its turn, is adapted to deliver a forced flow of water to the ejector (30, 40) in order to establish and maintain the ejecting effect. In order to avoid the pumping-down of enormous amounts of water to large depths by means of a motor-driven pumping device in a surface position, which is particularly energy, weight and space demanding on board of the rig, the ejector (30, 40), pumping device (38) and drive motor (22) are assembled to form a unit. A cable (20) delivers energy to the motor (22) from the surface.