The general application of the invention is a finishing process for an air-laid nonwoven web composed of short cellulosic fibers, bound by a thermoplastic binder and having a less than perfect homogeneous fiber distribution. In the invention, the process includes deforming under hot stress the web between an undeforming hard engraved cylinder and a slave cylinder having a hardness between about 60 and 90 degrees shore hardness D. The slave cylinder is resilient and deformable at the pressure applied to it by the engraved cylinder. In particular, the invention applies to the manufacture of webs and of disposable, decorative napkins.