Computers and Electronics Does FedEx Ground drug test? How long does it take for FedEx drug test? 2 answers. Drug test takes a few minutes. And a couple of days , to send for testing, and results. Urine test at the DOT physical, Some contractors do hair follicle testing.2019-05-20 Related Posts:Do drug tests detect hair?Which trucking companies use hair follicle testing?How far back does Roehl hair test go?How much does FedEx pay contractors per package?