Disclosed is a variable-geometry sealed coupling of the type of that connecting together two elements each arranged with a passage hole, the sealed coupling including two hollow bodies preformed to form a pivot connection, with the axis of this pivot connection making it possible to switch the axes of the passage holes from a straight position to a bent position, remarkable in that at least one of the bodies is preformed in such a way that the axis of the passage hole of the element with which it cooperates is offset with respect to the axis of the pivot connection, and is therefore not secant nor is it confounded with the axis of the pivot connection that it forms with the other body in such a way that the rotation of the bodies together is facilitated due to the out-of-roundness of the axes.