My Cat Licks Blankets. Pica can be the reason why your cat is obsessively licking carpets, floors, couches, furniture, walls, curtains, blankets, bedsheets, and litterboxes. Cats lick often in order to clean themselves.
Top 5 tips and tricks. In some cases, a cat might lick a blanket just because it loves it. Cats lick often in order to clean themselves.