President Donald Trump signed a new proclamation over the weekend, increasing travel restrictions on a total of eight countries: Chad, Iran, Libya, North Korea, Somalia, Syria, Venezuela and Yemen.
The travel restrictions are set to take effect Oct. 18, however, valid visas from the countries will still be honored.
The U.S. Supreme Court will hear arguments on Oct. 10.
Venezuela is the first non-Muslim-majority nation on the list.
"This corrupt regime destroyed a prosperous nation by imposing a failed ideology that has produced poverty and misery," Trump said.
Starting Oct. 18, certain Venezuelan government officials and their immediate family won't be able to come to the U.S. on business and tourist visas.
Venezuelan-Americans in South Florida tend to support the new rule.
"I think governments from Venezuela shouldn't come visit the United States because they have committed very illegal things," Raimary Cruz said.
"I think the United States understands the situation in our country is different," another Venezuelan-American, Cathirine Lynch, said.
The eight countries with travel restrictions are countries officials said aren't sharing information with the U.S. about terrorism or other issues, or they haven't taken necessary security precautions.
Officials said Venezuela was added to the list because its government won't say whether its citizens pose a public safety threat.