The Wright and Lanczos solutions are studied, which represent the gravitational field produced by a rigidly rotating dust cylinder coupled with the cosmological constant. It is shown that when certain physical conditions are imposed the five-parameter Wright solutions reduce to the two-parameter Lanczos solutions. The geodesic motion of test particles in the Lanczos spacetime is then studied. The effects of the cosmological constant on the motion are investigated. It is found that confinement occurs quite generally in the radial direction, whereas the motion in the axial direction is free. The possible relevance of the confinement to extragalactic jet formation is pointed out.