Hamilton was on a short list of candidates to succeed Bruce Arians as the team's offensive coordinator. Arians accepted the Arizona Cardinals' head-coaching job Thursday. Hamilton was scheduled to interview for the Colts' job as early as Friday, one source said.
Hamilton had extensive experience as an NFL assistant coach when he joined Stanford in 2010 as wide receivers coach. In 2011, he was promoted to offensive coordinator during Luck's final season in which Stanford set a school record by averaging 43.15 points per game.
Team owner Jim Irsay tweeted that the Colts' offense "could have some pep to it this fall."
After Luck departed to become the Colts' No. 1 overall pick in the 2012 NFL draft, an anonymous donor endowed the school's offensive coordinator position with a stipulation that it be renamed the "Andrew Luck Director of Offense." Though Luck expressed his discomfort to Stanford with the job title that went with the endowment, he eventually accepted that the donor's support was for the good of the program, a school spokesman said.
Hamilton extended his success in that role in 2012 when he served as the playcaller for a Stanford team that went 12-2, concluding its season with a Rose Bowl win over Wisconsin.
Hamilton recently interviewed for the New York Jets' offensive coordinator vacancy. He was a full-time offensive assistant for the Jets in 2003 and eventually coached quarterbacks for the Chicago Bears from 2006 to 2009 before joining the Stanford staff.
Information from The Associated Press was used in this report.