Cher’s son Elijah Blue Allman had drugs inside his home when cops responded to his apparent overdose … TMZ has learned.

Law enforcement sources tell TMZ … deputies rolled up to Elijah’s place in Landers, California on Saturday afternoon after getting a call about a man acting erratically. When they got there, paramedics were already evaluating Elijah … and that’s when deputies say they found drugs inside the house.

Elijah was then taken to the hospital — and cops say the investigation’s still ongoing.

As we first reported, Elijah overdosed earlier that day and was rushed to a hospital in Joshua Tree … with sources telling us he’s lucky to be alive.

Elijah’s been open about his struggles in the past … revealing in a 2014 interview he started using drugs at just 11 years old and had several close calls with overdosing — with a recent appearance outside Hollywood’s famed Chateau Marmont raising concerns.