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The infant's family says Baki Dewees has been missing since May 3.
He was last seen with his father, 24-year-old Yusuf Dewees, according to family members.
A detective who spoke with Eyewitness News would not say whether the baby's remains have been found or what led them to believe he is dead.
LASD detectives comb Antelope Valley Landfill for remains of missing baby
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Dewees is currently behind bars in Utah for an unrelated matter and obstructing justice. The child's mother is also in custody in Utah.
The Los Angeles County Sheriff's Department said detectives searched the landfill but left the site later Tuesday with no recovery of remains.
The child's family is working with the Department of Children and Family Services. Investigators are not disclosing what led them to believe the child's body might have been dumped in the landfill.
"We will be keeping the DA's office informed of our investigation and our findings and we will be working with them," said LASD Lt. Omar Camacho.