Sgt. Armando Meneses, who died Tuesday, is the second deputy in three days to die of complications from the disease.
Deputy Pedro Romo, a 25-year veteran of the department who worked as a school resource deputy, died Sunday.
"Sergeant Armando Meneses was a dear husband, father & almost 25 year veteran of our Department,'' LASD said in an Instagram post. "He was a truly honorable man with a golden heart. Please keep him and his entire family in your prayers.''
Meneses, who was also an Army veteran who served in Operation Desert Storm, had recently been promoted to sergeant last year, according to the department.
As of Wednesday morning, 2,856 sheriff's department employees had tested positive for COVID-19 since the start of the pandemic, including 1,910 sworn personnel, according to the department's website.
City News Service contributed to this report.