You can't, it's a problem on Facebook's end. This isn't an isolated problem. The messages going to your inbox is their current "fix". Before you didn't even receive the messages. You'd think with billions of dollars they could improve their chat system. Sometimes chat works okay but most of the time it's a pain in the arse. My favorite is when the person you're talking to doesn't get your messages then 5-10 minutes later it message bombs them with a trillion texts.