Trinity does. . . Pretty much only when she is kneading. She really likes fleece like textures and she will knead them like crazy. When she really gets into it, she looks like she is in a trance and she will start to drool. She also likes to push her head into/under whatever is around her, like if I am by her, she will bury her head in my lap or if she is on the bed, she will bury it into the covers. I know the drooling isn't something to worry about in this case, I was just wondering if any of your cats do this. Of my four, she is my only drooler.