I'm not sure.. but I think she says.. "It's ruined with Professor's sticky drool." ..Could a translator senpai confirm this?
"Not only is it worn out/ratty, it's sticky with Professor's drool..." The 上 in this case is "on top of that, besides, what's more" from Edict/JMdict, or "に加えて" from Daijirin/Daijisen.