If it were me, I would just give them a ring now and see if there's anything they need to move the application around. It may be adjusting credit limits, or identity verification. I haven't needed to call often, but when I have, they are easy to talk to- not necessarily overly friendly, just a fact based conversation.
I was going to take your advice, but when I logged into my account to check for a possible status update first, I saw the new card listed, so it was approved! It does look like they moved some of the credit from my SW card and my Sapphire, which is perfectly fine. At least if I have to owe taxes I can get a bonus in the process!