To endow a velourlike carrier (7), which has a finely fibrous surface, in particular a grain leather having a buffed topside or a synthetic velour material, and has been provided with a dressing (1) which has a grain texture on its face side the dressing (1) consisting of a consolidated polymeric dispersion and being produced separately on a substrate having a textured surface corresponding to the grain texture, with the requisite properties in terms of softness and abrasion resistance, but particularly in terms of air and water vapor permeability, the dressing (1) has capillaries (11) which extend throughout its entire thickness, which everywhere is substantially the same, and is bonded to the carrier (7) via a thin bonding layer (12) formed of a consolidated polymeric dispersion.