Supervised visitation means that someone, like a parent or grandparent, can only spend time with a child when another trusted adult is there to watch and make sure everything goes well. Full definition
A family law court may order supervised visitation for many reasons, based on state law and what the court determines is in the child's best interests. (info.legalzoom.com)
At my insistence, my lawyer put a request for supervised visitation in my divorce petition. (thelizlibrary.org)
I ended up with supervised visitation with joint custody, while he got primary. (adoption.com)