It depends on timing. I hit submit on my app and had an internal lined up to queue scoring the next week, with an invite email 10 days later. Others in my hiring group had their apps in for a year. YMMV.

For what its worth, they get 70 internal recommendations PER DAY, so that guarantees nothing other than that the app will be scored. (Overheard while when an employee hand delivered an a request while I was standing at the front desk during my interview).