Will deep cavity in wisdom tooth cause pain if I don’t get it extracted immediately?

[Class325Guy]

Hello, I have a wisdom tooth with a large cavity that needs to be extracted. I am currently working with a dentist who will be able to perform the procedure once they get authorization from the insurance. Most likely, the appt will be in exactly one month to have it removed, as that is the next time the surgeon will be in. In the meantime, I am worried about the tooth getting worse before then and being in pain. From what the dentists said, the cavity is already at the nerve, but for the most part it isn't too bad expect little twinges of mild/moderate pain or soreness and sensitivity here and there throughout the day. I called the dentist again today to check that they got my X-rays from the previous dentist so they could proceed with scheduling the surgery. While I was on the phone, though, I was able to speak to the dentist, and he said that I shouldn't be concerned about it getting worse before the appt but I just want to be sure. So do you think I can take the dentist's word on this, or are they just trying to make me feel better? I figure since it's already at the nerve and I am not in severe constant pain, it won't get any worse, but I want to be sure and someone else said that even though the cavity is already at the nerve and you're not in pain doesn't mean you won't be in the future if the nerve starts to die.

So when it comes to assessing a cavity that has already reached the nerve, how would you be able to determine whether a patient would likely be in severe constant pain before you had a chance to do the procedure?

Thanks