Just to add some balance to the discussion, the Captain's correct.
You physically need the licence, your logbook being endorsed won't cut it. For ratings and endorsements, the stickers are all you need, but not for licences.
Waiting for your licence to arrive feels like eternity, best I can suggest is if you're on the CASA portal, check its status and progress there, then at least you'll know a day or two before it arrives.