I don't think that will be a problem as long as your credit is very good.
I applied for the personal and biz card same day. Both got the call in message. I called for the personal and they didn't even verify anything, they just approved on the spot for a limit fully 2x my highest limit at that point. The biz card took a bit of persuading and I had to chop the limit from the recently approved personal card down and transfer to the biz card, but in the end it only took me ~20 minutes on the phone or so.