You can make that request. A more common Order by the court would be that he abstain from the use of alcohol immediately before he has the child and while he has the child with him..
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I would just add to Ms Commander's response, that it is not always a "sure-thing" for you to get supervised visitation, even with his alcohol issue. I think it would be wise to have an "no alcohol" provision added to your custody / visitation order, so that when he violates that then you have grounds to limit his visitation or take it away.
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