By replacing the fabric in the transfer section of an air laid machine with a transfer fabric having a specific compressibility as measured by P&J hardness, and then compacting the air laid web on the transfer fabric's surface when nipped between an engraved compaction roll and a backing roll, a highly textured air-laid web can be manufactured. In one embodiment, by using specific binders to form the air laid web a dispersible air laid web having a highly textured surface can be made. The textured air laid web can be moistened to form a wet wipe suitable for personal body cleaning.