Pip text

Hiya I've had my tribunal on the 22nd may and been awarded on enhanced on both daily and motability. I called pip om the 29th to see what's happening. Lucky for me apparently they received my appeal papers the day after my tribunal wich is rare and quick. I got transfered to a case manager and she told me that they have a check list to complete before I get backdated like if the dates are correct ect. She asked me if I wanted to go through the questions they normally ask about being in hospital there and then to make the process quicker and I said yes wich is good. She said normally it's takes about 3-5 weeks for the backpayment and I should be on high the next time I get paid in July as it might not be updated by the 11th June. She said ill receive a letter after my backdate. My question is. Will I get a text from dwp saying they have awarded me pip before my backdate? I've already been on pip though but on standard daily living? Or will they just backdate me