Livingston, who has been sidelined since the injury was revealed last month, was first expected to miss two to four weeks. However, Clippers coach Mike Dunleavy suggested to the Los Angeles Times that the second-year player could be out longer.
"We're not going to take any chances with him," Dunleavy told the Times on Sunday night.
Livingston underwent a third MRI on Thursday, which "showed substantial healing in the stressed area" of his back, but there is no timetable for the guard's return.
Trainer Jasen Powell declined to speculate for the paper on when Livingston, who's rookie season was also curtailed by injury, would resume basketball-related workouts.
"I've told them [team medical personnel] that whatever it takes, I want it to be right," Dunleavy told the paper. "I want them to be really sure. I don't want any setbacks.
"I want it to be done the right way. It's a long-term commitment, and that's the right way to handle it. We'll deal with it."
The 6-foot-7-inch, 182-pound Livingston averaged 7.4 points, 5.0 assists and 3.0 rebounds as a rookie but missed 52 games due to a knee injury. He returned late in the season and won Rookie of the Month honors for April.
Information from SportsTicker was used in this report.