Can you explain the phrase "dipping into his own supply" in the context of the sentences below?

mirabeau

New member
I folded the paper. "So it's not the fact that he's a killer that should bother me, it's that he's a killer having some kind of psychological meltdown?"
"For starters." He placed an index finger to his nose. "I hear he's dipping into his own supply."
I shrugged. Man, was I sick of this shit.

from Moonlight Mile by Dennis Lehane
 
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