did this almost 11 yrs ago... Late feb. 2010.
My brother lived in DFW at the time, I Sold My 110k Mi 2000 Hyundai Sonata, and paid Said brother $4k for his 54kmi '05 neon.
Buddy and I Flew Down, and drove it the 1100mi home.
being the overly Cautious type, I Emailed the TX DMV, and went down to my local BMV office( it's a Bureau in OH, not a Department...Fancy)
I don't really recall getting much of a response from TX.... but the Ohio Folks, on the other hand, reminded me that In OH, when you sell your vehicle, the Plates stay with YOU, not the vehicle, and, much like when you trade in on a new vehicle, you can just switch your existing plates (provided you have a valid reg) to the new ride, and you have 30 days to switch the reg over, and this would in essence be the same, since I had already sold my existing car before flying down.
when we got down there, had my brother sign over the title, took his plates off, and put mine on, and drove it straight through back to OH.
Didn't even get a glance from the Police anywhere along the way. ( granted in Non-OH States we were extra vigilant to stay within the law and NOT draw attention to ourselves because, if they did run the plates on that '05 Dodge, the Reg would come back on a '00 Hyundai)
seeing as how the Prior owner was My brother, I likely could have Driven it home on his plates, and then sent them back to him (He's a plate Collector), but... what fun would that be...
short version, Check with both states.