Last week, Democratic Sen. Dianne Feinstein, the top Democrat on the committee, called on Graham to hold hearings on the incidents, which have sparked a public outcry about the treatment of migrants at the border.
"These heartbreaking incidents are sadly consistent with previous reports of widespread abuse of children in immigration custody and the judgment of medical and mental health organizations that Border Patrol facilities are not adequately staffed or equipped to properly care for children," she wrote in a letter to Graham.
The latest death was that of an 8-year-old boy from Guatemala, who died on Christmas Eve at the Gerald Champion Regional Medical Center in Alamogordo, New Mexico, about 90 miles north of the border crossing in El Paso, Texas