The collision occurred shortly after 6:30 a.m. on Imperial Highway, near Success Avenue, according to the Sheriff's Department.
At least two deputies were inside the marked SUV, which was heading westbound at the time of the impact, an LASD spokesperson said. They were uninjured.
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The unidentified victim, described by investigators as a transient, was pronounced dead at the scene.
The Los Angeles Police Department's South Traffic Bureau is investigating the incident.