In Illinois, the experience requirement is separate from the exam requirement.
However, it took me 9 days from when I mailed my application for licensure to get a license number. Which is really quick for Illinois. (‘Matter of fact, I got my license number today)
edit: To be a little more clear, I passed the October 2018 exam and already had the requisite 4 years work experience prior to passing the exam. My direct supervisor had been busy (really busy) the last few months, so it took some time for them to prepare their part of my license application, i.e., verifying my work experience.