The child has been treated in hospital after being given alcohol regularly for six months.
The unnamed youngster, from the West Midlands, was one of 13 children who were diagnosed alcoholic by the Heart of England NHS Trust between 2008 and 2010.
In the same period, 106 teenagers aged 13 to 16 were also treated for their addiction to alcohol.
Nicolay Sorensen, a spokesman for Alcohol Concern, said: "To be diagnosed alcoholic, it's possible this child would have shown a physical dependency. They would have had to ingest enough to cause withdrawal symptoms.
"Whatever the circumstances, it is a truly horrifying case and raises very serious child protection issues."
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