Sketches and diagrams are presented to demonstrate a new phenomenon of nonhomogeneous sedimentation in liquid‐solid systems with a small density difference. Low Reynolds number sedimentation in moderately shear‐thinning viscoelastic fluids results in a striking pattern of rising liquid pockets, which resemble bubbling (aggregative) fluidization within a progressively compacting bed. Inhomogeneities in particle concentration become increasingly apparent with increasing shear‐thinning, until ultimately particles could not be dispersed at all in some fluids. The nature of the inhomogeneities is described and the conditions under which they become apparent are qualitatively discussed.