Hyundai I30 Gearbox & Transmission Problems

Yes, it would, and I wouldn’t recommend doing it. While you might think the engine is labouring I doubt that it is. Cars today use higher gears than we might have once been used to, and they’re calibrated to run in the highest gear possible in the interests of saving fuel and reducing pollution, and it sounds to me that your Hyundai is doing just that. I wouldn’t be concerned about it.

I'm guessing you will want the problem fixed under warranty, so you will have to go to a Hyundai dealership. Go to a big dealership, which should be able to do the job for you, or if you are not confident call Hyundai and ask for a list of dealers who can do it for you.