Wet through

We’ve just started potty training with my little boy who will be 3 in August, he weighs 14.5kg so can’t quite fit into dry night pull ups but he keeps waking up early because he’s wet through. I can tell he’s tired and I was wondering if there’s anything else we can do? His dad has suggested putting two pull ups on 🤣 but I’m starting to think maybe this will do it?