They have already submitted to insurance!

I went for my first consult in mid January and after looking over my insurance policy I found that I could go with the 3 month dietary plan rather than 6 months. I don't know what I expected but I assume it wouldn't be submitted to insurance until closer to the 3 month mark. I've done everything the insurance requires and almost everything the surgeon requires. All that's left is a sleep study and the classes they require leading up to your surgery date. So I guess my question is, how long does it typically take to hear back from insurance and then if approved do I still have to wait until the 3 month mark? I'm so confused!