Brown, 22, is 7-foot-2 and finished last season with the Cavaliers after starting with the Mavericks. He averaged 4.3 points and 3.4 rebounds in 40 games overall.
Meanwhile, the Clippers lost Isaiah Hartenstein to the Knicks and have been seeking some help in the pivot.
Heading into free agency, Brown reportedly had also been drawing interest from the Rockets, Raptors and a few others. He has also spent time with the Trail Blazers and Thunder since entering the NBA in 2019.