A sealing arrangement (6, 20, 37) to be positioned between two adjacent members (2, 3; 12, 13; 26, 27) between which a fluid cavity (4) is defined. Such a sealing arrangement is by example used in a swivel structure. If the exerted pressure is considerable two members will move from each other resulting in a larger spacing of the gap between them. During increasing of the pressure the requirements set to sealing do increase. According to the invention it is proposed to provide the members (2, 3; 12, 13; 20, 27) with L-shaped extensions and inverted L-shaped extensions (10, 11; 19, 21; 29, 30; 34, 35) which engage into each other and in between a spacing is defined for accommodating the sealing. If the pressure of the fluid in the cavity arises the spacing for the sealing will substantially decrease.