Moth larvae?

Hello,
Over the last few years, I keep finding these creatures crawling in my bathroom. Someone told me they're larvae of the moths that eat sweaters in your closet, and they do look like a match when I search for images -- but I've never seen moths or damaged clothes in our nearby closet. They seem to stick around the bathroom, where there's moisture, and I've never noticed a moth flying around in there either. Any ideas? Oh, I'm in the Los Angeles area.

http://www.screencast.com/t/jF2zMO4s

Thank you!
Draccy