The Texans worked out four cornerbacks on Monday.
That includes former Buffalo Bills and Oakland Raiders cornerback Breon Borders, Chris Campbell, Michael Hunter and Jalen Myrick, according to league sources not authorized to speak publicly.
The 6-0, 195-pound Borders was a third team all conference pick at Duke where he recorded 148 career tackles, 12 interceptions and one sack with 34 pass deflections and two forced fumbles.
Myrick is a former Jacksonville Jaguars seventh-round draft pick from Minnesota.
Myrick blocked an extra point last season against the San Francisco 49ers.
Campbell is a former Arizona Cardinals sixth-round draft pick from Penn State.