Luck was widely considered to be the No. 1 pick by Carolina if he chose to leave school early.
Luck led the fifth-ranked Cardinal (12-1) to a school-record 12 wins this season, including a 40-12 victory over Virginia Tech in the Orange Bowl on Monday night. Stanford is set to finish the season in the top five of the AP poll for the first time since the unbeaten 1940 team finished No. 2.
The Associated Press contributed to this report.