You will have no problems at all, i fly into DFW at least twice a month and id suggest getting yourself into immagration as quickly as possible, this is a big advantage. The first queues of people on the left when you enter the immigration hall are US citizens (i take it your not ?) if not keep walking and you will see what seems like the neverending zig zag line for non US citizens. There will be at least 3 officials dedicated to that line so make any of them aware of your connection, they will either advise that your queueing time is ok or will prioritise you and take you through.
Do prepare yourself for the DFW immigration officer having a good laugh with you, cracking funnies and greeting you with open arms to the US of A..........NOT