Cousins cleared health and safety protocols required for any free agent signing with a new team.
The Clippers need a backup center and will take a close look at the veteran Cousins. Starting center Serge Ibaka has missed the past 11 games with a back injury. Ivica Zubac has started at center in Ibaka's place.
Cousins, 30, a four-time All-Star attempting to resuscitate his career after a series of serious injuries, averaged 9.6 points and 7.6 rebounds while shooting only 37.6% from the floor in 25 games with the Houston Rockets this season.
Cousins has bounced around the league the past few seasons after rupturing his Achilles tendon during the 2017-18 season while with the New Orleans Pelicans. He then signed with the Golden State Warriors but tore his quadriceps muscle in the 2018-19 season. Cousins joined the Los Angeles Lakers for the 2019-20 campaign but tore his ACL before ever suiting up for the team.