The Texans worked out former Chicago Bears quarterback Connor Shaw, according to a league source not authorized to speak publicly.
They also worked out 10 other players Tuesday.
That included defensive linemen Tyson Jackson and Kendall Langford, outside linebacker Lamarr Houston and Jayrone Elliott, wide receivers River Cacraft and Paul Turner, offensive tackle Steven Moore and defensive backs J.R. Nelson and Marcus Sayles.
The Texans cut offensive tackle Jah Reid and cornerback Johnthan Banks and claimed cornerback Marcus Williams off waivers from the New York Jets.