This is the second procedure on the right hand for Rondo, who has appeared in just 14 games this season.
He missed a month following the previous injury, then returned for three games before injuring the hand again.
The Lakers are already without star forward LeBron James, who is day-to-day with a strained groin. James is expected to miss at least a few more games.
Rondo, 32, is averaging 8.4 points and 6.7 assists in his first season with the Lakers.
This story originally appeared on Amico Hoops.