It says on the UseMyWallet website that it takes approximately 3 business days sir.
Quote:
The withdrawal request is processed within 3 business days. During these three days you may request to cancel the withdrawal and funds will be credited back to the QuickTender Account.
Yep, exactly as expected. I was contemplating using this method (switching from my pending wire), but it's not going to expedite anything. You might save a few $ in fees though.