Umm I dont know why everyone is saying "you dont need it, you dont need it".
Yes you probably dont need it. BUT if you include it in your application, it wont harm you. I am considering the fact that you dont have a bad record with FBI.
Because IF cic asks for it later... and then you start running around and submitting for FBI Clearance, you are going to get behind - probably you would have to wait for an extra 4-5 months.
When Application officer deems your application complete, he would OK it for next step.
So you would get Medical requests.
When Application officer checks and thinks, he wants to see your FBI BGChecks, he will issue a letter to your name.
Now just think about it
(you get the letter, you apply to FBI, which may take 4-8 weeks, then u send that document to CIC, then AppOfficer checks it and adds it to your application).
Is n't it better to add everything at once? (if its not a negative thing obviously).