The 4 flights before your DFW-LAX flights seem to be lightly loaded so chances are good. Your chances are probably close to 0 if you check bags though. Just be prepared/be positioned to get off the LIT-DFW flight fast and then make a judgment call if you can make the early connection once your deplane at DFW.
http://www.aa.com/aa/pubcontent/en_U...eDayTravel.jsp