Texas DPS has shared the following information for non-citizens who have lawful status and need to renew a Texas driver’s license.
If possible, the customer should visit a driver license office at least 30 days before your driver license or limited term status expires to allow enough time if a 3rd verification of your documents is necessary.
If lawful presence has changed or your period of lawful presence has been extended, it may take up to 15 business days for USCIS to update your information in its database, which means the customer’s status may not be verified the first time.
Once the customer submits their driver license or identification card application, you have 90 days to complete all of the requirements, such as SAVE verification and any written or driving tests. After 90 days, we may require you to resubmit your application and pay an additional fee
The Department processes hundreds of SAVE transactions daily, and most are processed on the first verification attempt.
Here’s the link to their website’s renewal information