The Texans' used their seventh-round pick – their last in the three-day draft – on Baylor center Kyle Fuller.
Fuller (6-4, 307 at the combine) anchored Baylor's offensive line and helped the Bears have one of the most prolific running games in the nation as a three-year starter.
Fuller, a native Texan who grew up in Wylie, will be given a chance to play guard, too.
At center, the Texans have Nick Martin, last year's second-round pick who spent his rookie season on injured reserve, and Greg Mancz, who started all 16 games and two in the playoffs.