[Texas] Can you get benefits without a TX drivers license?

I was just notified that I'm going to lose my job in 3 weeks and when I looked up the requirements to apply for unemployment I noticed that you need a TX drivers license. I've lived in Texas for 5 years but still have my unexpired NC drivers license bc I hate dealing with the DMV. The next DMV appt for a drivers license isn't until late June and I'm really scared my benefits will be delayed. Is it possible to get benefits without the drivers license? I have proof of residency etc.