He averaged a career-best 16.1 points and he added 8.0 rebounds and 2.6 assists per game.
"Julius Randle has made it clear that I don't think he really wants to be back there", Aldridge said on Sunday. That announcement was quickly followed by agreements by Kentavious Caldwell-Pope, Lance Stephenson and JaVale McGee to play for the Lakers, sources told ESPN's Chris Haynes.
Randle had a breakout season in 2017-18.
Rondo is coming off a stellar season with the Pelicans and showed that he can easily play side-by-side with another point guard, Jrue Holiday.
Randle played in all 82 of L.A.'s games previous year.
Rondo, 32, was a member of the Celtics team that won the National Basketball Association championship in 2007-08, beating the Lakers in six games in the Finals.
Rondo's deal comes a day after the Lakers landed LeBron James in free agency.
Rondo is the second notable former Celtics point guard to join this current Lakers team, joining Isaiah Thomas, who was traded from the Cleveland Cavaliers this past season. Unless Ball is traded away, he would most likely be demoted to a bench role with fellow youngsters Josh Hart and Moe Wagner.
The veteran point guard expects to compete for a job as the Los Angeles Lakers starting point guard, USA TODAY's Sam Amick reported Monday night, citing a person with knowledge of the situation. They also could waive him and stretch his contract in order to lessen their salary cap burden.
He has career averages of 13.5 points and 8.9 rebounds in 238 National Basketball Association games (182 starts). He was the No. 7 overall draft pick out of Kentucky in 2014 but played in only one game his rookie season before breaking a leg.