I'll tell you from personal experience that, once it pops out, if it is already loose, you're going to have a pretty serious issue with weakness in the joint for at least a few days, and it usually takes about 5-10 before you feel really comfortable doing things that put stress on it... You know, like swinging a bat, raising your arm over your head, etc.
If Burke doesn't go on the DL, he'll be pinch running and late inning defense at best.
Swinging a bat can SERIOUSLY hurt.