The Supreme Court has indeed cleared the way for the Trump administration to deport migrants, including those with criminal records, to South Sudan, allowing removals to countries with which migrants have no prior connections.
BREAKING: Supreme Court clears Trump deportation order of migrants to South Sudan

FactVerify
Source: factverify.com
What the Evidence Shows
The claim states that the Supreme Court cleared a Trump deportation order of migrants to South Sudan. Multiple reliable sources confirm this. The Supreme Court granted an emergency request from the Trump administration to resume deportations of migrants to countries other than their homeland, specifically including South Sudan, a country experiencing conflict and turmoil.
This ruling effectively halted a lower court order that had temporarily blocked such deportations and allowed migrants to challenge their removal to third countries. The decision applies particularly to migrants with criminal records held in locations such as Djibouti. The court's action aligns with the Trump administration's policy to fast-track deportations to third countries, even if migrants have no ties there.
Therefore, the claim is accurate and supported by multiple news outlets including AP News, Newsweek, The New York Times, CNN, NBC News, and others.