My wife's comp has a pair of Logitech z625 speakers. They sound fine, but they're afflicted with obnoxious potentiometer scratching that I can only briefly subdue with Deoxit. Is there a better fix?

I may not be able to fix this, but I decided on a lark to take a look at the port through a cheapo binocular microscope I recently got. I wish I could've taken a shot of what I saw, but a toothpick ...