Washington (CNN) Rep. Alexandria Ocasio-Cortez, who has frequently criticized Immigration and Customs Enforcement, is suggesting that the Department of Homeland Security, which oversees ICE, should be eliminated.

Ocasio-Cortez and other progressives have previously called for the abolition of ICE, but her suggestion to dissolve the umbrella department that oversees numerous agencies -- including the Federal Emergency Management Agency and Transportation Security Administration -- would significantly alter the federal structure overseeing immigration enforcement, anti-terrorism and disaster management that was created after the September 11 attacks.

Ocasio-Cortez first made the suggestion earlier this week in an interview with The New Yorker Radio Hour's David Remnick during a discussion about whether it was possible to reform ICE rather than abolishing it, which Ocasio-Cortez said was impossible because the agency lacks adequate oversight.

"Would you get rid of Homeland Security too?" Remnick asked.

"I think so, I think so. I think we need to undo a lot of the egregious, a lot of the egregious mistakes that the Bush administration did. I feel like we are at a very, it's a very qualified and supported position, at least in terms of evidence, and in terms of being able to make the argument, that we never should've created DHS in the early 2000s," Ocasio-Cortez said.