The 6-foot-2, 300-pound Jones should back up Chris Myers, who re-signed with the Texans in free agency.
The Texans finished 10-6 last season and won their first AFC South title to earn the franchise's first playoff berth. The offensive line was a strength, setting franchise records for yards rushing (2,448) and rushing attempts (546).
Houston has four more picks on Saturday -- Nos. 121, 161, 195 and 233 overall. Houston selected Illinois defensive end Whitney Mercilus in the first round, and Ohio State receiver DeVier Posey and Miami (Ohio) offensive lineman Brandon Brooks in the third round.