According to the report, Smith was interviewed earlier in the week.
Kubiak was fired earlier this month after the team started with a 2-11 record.
Smith, 55, has been out of coaching since being fired after the Bears finished 10-6 and missed the playoffs in 2012. He had a 81-63 record in nine seasons with the Bears and led the team to three division title and one Super Bowl appearance.
KING: Best Head-Coaching Candidates; Week 16 Storylines Among the other candidates the Texans are interested in are interim coach Wade Phillips, Penn State head coach Bill O’Brien and San Diego offensive coordinator Ken Whisenhunt, according to the report.