No. When a cowhide is properly tanned the hair will not shed or fall out. Be careful not to leave your rug damp or wet for a long time, as this will not be beneficial for the hair and the leather. A properly tanned hide has tanning agents (chemicals) between its fibers. When any kind of humidity gets trapped between the fibers and can’t escape and dry out completely, it causes these tanning agents to be washed-out, changing the pH of the leather, thus “un-tanning” the hide. This causes shedding and the leather beneath it becomes darker, almost black, dull, and sometimes harder and more fragile. If you keep your cowhide away from liquids and humidity (a wet shoe, for example) you won’t have any problems!