Webster was released by the Los Angeles Rams in April, a few months into his rehabilitation from a torn Achilles sustained on Dec. 10 against the Philadelphia Eagles. He also underwent surgery to repair a torn rotator cuff and labrum.
The 27-year-old Webster started a career-high 11 games for the Rams last season. His injury, in addition to the arrivals of Aqib Talib from Denver and Marcus Peters from Kansas City, made the 5-foot-11, 192-pound Webster expendable with the Rams. The Rams also added Sam Shields from Green Bay to the cornerbacks corps.
Webster collected 38 tackles and an interception in 2017 after signing a two-year contract with the Rams. He amassed 183 tackles and an interception in his four previous seasons with the Broncos after being selected by the team with a third-round pick in the 2013 NFL Draft.
The Texans could be looking for added depth after fellow cornerback Kevin Johnson went to the hospital with a concussion during Saturday's preseason game against the San Francisco 49ers. Johnson is under the NFL concussion protocol.
The Lions have a wealth of cornerback depth behind Darius Slay, including Nevin Lawson and Teez Tabor.