Kubiak and current executive vice president of football operations John Elway were teammates on the Broncos from 1983-1991.
In addition, Kubiak served as an offensive assistant in Denver from 1995-2005. He took over as the Texans' head coach prior to the 2006 season and led the team to a 61-64 record with two playoff appearances over eight seasons.
After being fired in December 2013, Kubiak was hired as the Ravens' offensive coordinator in January 2014. Under his watch, Baltimore ranked eighth in the NFL in scoring offense and 12th in total offense.
Doug Marrone, who opted out of his contract with Buffalo following the conclusion of the 2014 season, was also reportedly set to interview. But ESPN's Adam Schefter reported on Friday that Marrone had canceled his interview and will wait to see the results of Kubiak's interview.
The Broncos went 12-4 and finished in first place in the AFC West this season before falling to the Indianapolis Colts in the divisional round of the playoffs.