President Barack Obama has ended the longstanding policy that grants residency to Cubans who arrive in the US without visas, US media report.
The 20-year-old policy allows Cuban migrants who reach US soil to become legal permanent residents after a year.
In exchange, Havana has agreed to start accepting Cubans who are turned away or deported from the US.
The move comes as President Obama tries to continue the thawing of relations with Cuba in his final days of office.
Until now, this policy has applied solely to Cubans.
Other immigrants who come to the US without a visa could be arrested and deported.