Multi-ply tissue products are disclosed. The multi-ply tissue products contain tissue webs that have raised areas and depressed areas. The tissue webs may be constructed so as to be relatively non-compressive and may have a resilient three-dimensional structure. During production, in one embodiment, the tissue webs may be produced without being subjected to any substantial compression, such as a calendering process. Although not necessary in all applications, in one embodiment, the tissue webs may be combined such that the depressed areas contact each other to form the multi-ply product. The tissue webs, for instance, may comprise a through-air dried web in which the raised areas and the depressed areas are molded into the web. Tissue products made according to the present invention have enhanced absorption characteristics. For instance, the tissue products can have an interply absorbency of greater than about 3 g/g after 30 seconds.