Claiborne was not perceived as a first-round draft pick prior to his junior season.[7][8][9] By midseason, however, he had drawn the attention of NFL scouts and analysts, having erased concerns his sophomore production resulted from playing opposite of Patrick Peterson.[10][11] Towards the end of his junior season, Claiborne had established himself as the No. 1 cornerback prospect for the 2012 NFL Draft, unanimously projected as a top-6 selection.[12][13][14] Claiborne scored a 4 out of 50 on the Wonderlic Test, which is an aptitude test given to NFL prospects to test basic intelligence.[15] After being drafted, Claiborne admitted he "blew the test off" (the Wonderlic test) after seeing that it had "nothing on the test that came with football".[16]
Coming into the NFL draft, Claiborne was predicted to be drafted by the Tampa Bay Buccaneers at the number 5 pick overall or even the 4th overall pick to the Minnesota Vikings. The first day of the NFL draft was held on April 26, 2012. On the first day of the draft, the Buccaneers traded out of the 5th pick to the 7th pick with the Jacksonville Jaguars. The Jaguars selected Oklahoma State University wide-receiver Justin Blackmon with their newly acquired 5th overall pick. The Cowboys then traded with the St. Louis Rams (who had expressed their desire to trade out of the 6th pick in order to collect more draft picks) for the 6th pick, and selected Claiborne ahead of the Buccaneers. The St. Louis Rams received the Cowboys' 2012 first and second round selections (14th and 45th overall) while the Cowboys received the 2012 first round selection (6th overall). Buccaneers drafted safety Mark Barron with the 7th overall pick.
Dallas Cowboys owner and G.M. Jerry Jones explained after Claiborne was selected that Claiborne was the only player the Dallas Cowboys would trade up for in the 2012 NFL Draft, but considered it a far fetched idea because Claiborne was ranked as a top 5 player in the draft with the Cowboys picking 14th overall. Claiborne was ranked number 2 in the Dallas Draft board right after number 1 pick Andrew Luck.[17][18][19]