TexasCHLforum.com

Yes, your LTC is still valid for 30 days while you wait for your new one with the new address.

However, you kind of got the cart before the horse. You don't have to submit your change your address until you officially establish residency in OK. Hopefully your DL change will be quick with OK so you are not backwards out of sync with your LTC showing an OK address, but your DL still being a TX DL with your old address.