Diaper leaks making it hard to sleep train

Our 5 month old has been habitually waking between 3:30-5am every morning. It's definitely my fault as I let him snuggle with me at this point. We've gotten him sleep trained for the rest of night but struggling to break this habit and his continuous diaper leaks make it even harder. I try to wait before doing a check in at this time and then feel awful when he's soaking wet. We use a sized up regular Millie moon diaper plus a dimples booster pad and we're still leaking. Does our LO just pee a lot or do we need to try a different brand?

update thanks everyone for the suggestions! We ended up switching to Huggies overnights (no booster pads) in the next size up and have had no leaks since then!!