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Alcohol dilates peripheral blood vessels, but has been known to actually. constrict some blood vessels in the brain, lowering the oxygen content. Alcohol dilates peripheral blood vessels, but has been known to actually  constrict some blood vessels in the brain, lowering the oxygen content.
Chronic alcohol use could have an effect on your liver. The liver effects the thinning of the blood. If the liver malfunctions the blood could become thinner. There might be other connections between alcohol and the blood thinness. Discuss this with your primary care doctor.