A vessel has a hull, a contact area at the hull near keel level for attaching to a structure, a lifting device and a lifting cable attached thereto and extending along a heave compensating member. The lifting cable extends along a substantially vertical lifting trajectory to a connect position below keel level. The heave compensating member includes a guide element for guiding the lifting cable and which is connected to a displacement device. The heave compensating member includes a compensator arm with a pivot end pivotally connected to a pivot point on the vessel at a predetermined transverse distance from the lifting trajectory, the cable guide element being attached to a free end of the compensator arm at or near the lifting trajectory, guiding the lifting cable in the direction of the pivot point, the arm being at or near the free end connected to the displacement device.