This invention is directed to absorbent structures and preferred absorbent articles, comprising solid, typically particulate, water-swellable material that comprises coated water-swellable, preferably hydrogel-forming polymers, which are coated with a coating agent, which is such that it does not rupture when the polymers swell in a liquid, e.g., water or saline water. Hereto, the coating agent is extensible in wet state and comprises thereto a wet-extensible material that has a tensile stress at break in the wet state of at least 1 MPa. Typically, the coating agent comprises thereto an elastomeric polymeric material.