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Can I request limited visitation?

Judges can restrict the visitation time or the manner of the visitation with the non-custodial parent if it is in the best interests of the child.

For example:
The judge could order the non-custodial parent not to have any overnight guests while the child is present. Or the judge could order the non-custodial parent not to smoke in the presence of a child that suffers from a respiratory illness.

If the non-custodial parent engages in behavior that is clearly dangerous to the child, such as the aforementioned possession of guns, the judge will order the parent to stop the pattern of behavior, if possible, and to not indulge in it when the child is present. If the behavior is also clearly illegal, such as drug use or sexual misconduct, the non-custodial parent may also be subject to criminal prosecution.

In some cases, judges will order supervised visitation, in which a social worker or other mental health professional is present while the non-custodial parent visits with the child. Notwithstanding, what you may have seen on television, such supervised visitation is relatively rare and is generally restricted to cases of alleged child abuse or molestation.