Washington (CNN) People trying to enter the US after fleeing the hurricane-ravaged Bahamas will be reviewed on a "case-by-case basis," acting Customs and Border Protection chief Mark Morgan told CNN Tuesday, a day after President Donald Trump said those seeking refuge need "totally proper documentation."

"Those individuals who do make it to the United States that don't have travel documents ... we're going to apply discretion on a case-by-case basis. We're not going to deny somebody solely because they don't have travel documents," Morgan told CNN's John Berman on "New Day."

He added that the US doesn't want to see a "mass exodus" from the Bahamas.

On Monday, Morgan told reporters, "if your life is in jeopardy and you're in the Bahamas and you want to get to the United States, you're going to be allowed to come to the United States, whether you have travel documents or not." Later in the day, however, Trump said "proper documentation" was needed, citing the need to prevent "very bad people" from coming to the US.

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