drug

So, I recently applied for UPS and was given a contingent offer at Worldport location, pending my background check. I have one thing on my background that I'm worried about and I've been trying to do some research on it, but am coming up with nothing. I have a misdemeanor (drug trafficking)...

Does UPS Drug screen new hires and if so when do they do it. I know they have to do a background check and that usually takes up to 2 weeks so do they do it after that. BTW The position is a part-time supervisor