Gipson, who signed a three-year, $22.5 million contract with the Texans in 2019, has a $4.25 million dead cap charge on the deal.
In his pre-draft news conference, head coach and general manager Bill O'Brien mentioned safety as a position the team could add to and spoke of the above players without mentioning Gipson. Gipson was signed when Brian Gaine was the team's general manager.
Gipson started 14 games for Houston in 2019 and had three interceptions and 51 total tackles.
He was placed on injured reserve before their wild-card playoff game against the Buffalo Bills because he aggravated a transverse process fracture in his lower back and suffered a broken wrist in Week 17. He originally suffered the back injury during the season, causing him to miss two games.