When asked about the proposal again, Graham confirmed to Blitzer that he believes children born in the U.S. to parents who are not citizens should not automatically be granted citizenship.
Trump proposed a change to the way the U.S. grants citizenship as part of a larger immigration platform, prompting other Republican presidential candidates to weigh in on the issue. Louisiana Gov. Bobby Jindal (R) on Monday said that he supports ending birthright citizenship. And last week, New Jersey Gov. Chris Christie (R) said the issue should be "re-examined."
Though Graham agreed with Trump on birthright citizenship, he described the real estate mogul's immigration proposal as "gibberish."
Watch Graham's interview via CNN: