Sheriff Laurie Smith, who oversees the jails, announced after the guards' arrest in Tyree's death that she was immediately adding 40 hours of "crisis intervention team" training for new recruits currently enrolled in the corrections academy to help them cope better with mentally ill inmates.
Police departments across the country have seen a reduction in citizen complaints regarding police use of force after equipping officers with body cameras.
Three correctional officers -- Jereh Lubrin, Matthew Farris and Rafael Rodriguez -- now face murder charges in Tyree's killing.
Elsewhere in California, the priority has been on equipping patrol officers, law enforcement officials said.
Los Angeles County tested body cameras in the jails in 2012, but the technology was less developed at the time, prompting the county to opt for fixed surveillance cameras instead.