Shannon Murphy, a spokeswoman for Speaker Karen Bass, says the Assembly won't vote on the plan Monday.
Bass had previously set a vote on a scaled-down version of the plan. The Los Angeles Democrat had stripped out the most contentious provisions from a bill that passed the state Senate last week.
Bass says that version doesn't have enough votes to pass in her chamber.
She removed a portion that would change several felonies to misdemeanors and keep those offenders out of prison. She also rejected a plan to detain thousands of inmates at home, and changed the makeup of a proposed sentencing advisory committee.