Once I'm able to use the 1040x form to amend my taxes by adding another w2 that came late, how soon will I receive those funds?

First  it said the form would be ready today, now it says not until tomorrow.  Once I can access this form that I have never had to deal with, and successfully add the missing w2 to my return, how long would it take to recieve what would be my second deposit from both state and federal? A rough estimate?