The Blazers had targeted finding a frontcourt player in free agency but were limited by salary-cap constraints. They first pursued Spencer Hawes, but quickly moved on to Kaman when Hawes drew interest from other teams including the Warriors, Clippers and Suns.
Hawes ultimately agreed to a four-year, $23 million deal with the Clips, sources confirmed to ESPN.com.
Kaman, 32, averaged 10.4 points and 5.9 rebounds in a career-low 18.9 minutes last season. The Lakers often utilized a smaller lineup in games, contributing to his limited minutes.
Kaman, who was an All-Star in 2010, is expected to back up starting center Robin Lopez.
The deal will become official when the league-wide moratorium on signings ends July 10.
Information from ESPNLosAngeles.com's Arash Markazi was used in this report.