Sen. Lindsey Graham Lindsey Olin GrahamSteele Dossier sub-source was subject of FBI counterintelligence probe Hillicon Valley: Subpoenas for Facebook, Google and Twitter on the cards | Wray rebuffs mail-in voting conspiracies | Reps. raise mass surveillance concerns Key Democrat opposes GOP Section 230 subpoena for Facebook, Twitter, Google MORE (R-S.C.) said Sunday that he plans to hold hearings in the Senate Judiciary Committee on the deaths of two children in Customs and Border Protection (CBP) custody.

"I’m going to hold hearings on the deaths of these two children and the policies that entice people to come," Graham, who will likely be the next chairman of the Senate Judiciary Committee, said on CNN's "State of the Union."

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Sen. Dianne Feinstein Dianne Emiel FeinsteinTrump faces tricky choice on Supreme Court pick The Hill's Morning Report - Sponsored by Facebook - Trump previews SCOTUS nominee as 'totally brilliant' Abortion stirs GOP tensions in Supreme Court fight MORE (D-Calif.), the ranking member of the committee, last week called on Graham to hold hearings on the deaths of Jakelin Caal Maquin and Felipe Gómez Alonzo, saying that the Judiciary Committee is "uniquely situated to examine these issues."

CBP officials said last week that Gómez, an 8-year old Guatemalan boy, died in the agency's custody, having been pronounced dead after being taken to a hospital in New Mexico.

His death followed the death of another Guatemalan child, 7-year-old Caal, while in CBP custody earlier this month.

Investigations into both deaths are currently ongoing, and Democrats have said they will open further investigations after they gain control of the House this week.

Graham also said on CNN that any deal to reopen the government, which has been partially shut down for nine days, hinges on border wall funding.

"So to my Democratic friends, there will never be a deal without wall funding and many Republicans are going to offer something as an incentive to vote wall funding that you have supported in the past.”

President Trump Donald John TrumpSteele Dossier sub-source was subject of FBI counterintelligence probe Pelosi slams Trump executive order on pre-existing conditions: It 'isn't worth the paper it's signed on' Trump 'no longer angry' at Romney because of Supreme Court stance MORE has demanded $5 billion for the wall, a central element of his presidential campaign.

— This report was updated at 1:16 p.m.