Witnesses told the Coast Guard that Dunn was intoxicated and fully clothed when he jumped into the churning surf at 2:30 a.m July 5.
Dunn reportedly told friends to meet him on the beach before he jumped, but he never made it.
Authorities recovered the corpse from the water and sent it to the L.A. County Sheriff's Department's Baywatch station at Marina del Rey on Fiji Way. It will be turned over to coroner's investigators.
CNS and AP contributed to this report.