The song itself is just a repeating five chord pattern, and the drum machine that's vintage of its time churns out a heartbeat rhythm in sync with the pulsing bass line. In spite of all that, the song works, because of the conviction that it's sung with and that sweet, weeping slide of Rea's that makes itself known in the instrumental breaks at the middle and particularly in the end. Combined with his baritone voice it does sound as if Rea is from Texas (not even close, he hails from Middlesbrough, England).
I was able to find the original video for this, but it's somewhat cheesy. Play it, but you might want to close your eyes and come up with your own imagery. Visualize the "big long roads out there" and the "big stakes, big girls, no trouble there" that is Chris Rea's notion of Texas:
"One Track Mind" is a more-or-less weekly drool over a single song selected on a whim and a short thesis on why you should be drooling over it, too.