Washington (CNN) Republican Sen. Lindsey Graham, the likely incoming chair of the Senate Judiciary Committee, said Sunday that he will hold hearings on the deaths of migrant children at the border after two children in the custody of US Customs and Border Protection died in recent weeks.

"Yeah, I'm going to hold hearings on the deaths of these two children and the policies that entice people to come," Graham told CNN's Dana Bash on "State of the Union."

"One of the mothers of these two children was not seeking asylum, she was just trying to come here to find a job," he added.

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.

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