It can happen as soon as April, reports the news agency.
In total, it's about around 240,000 Ukrainians who fled Ukraine after Russia's full-scale invasion more than three years ago.
The information follows the escalated verbal exchanges between Ukraine and the US over the past few weeks, which intensified strongly when Trump chose to throw out Ukraine's President Volodymyr Zelenskyj from the White House last week.
Neither Washington nor Kyiv has commented on Reuters' information.
Since Trump took power in January, he has launched a comprehensive effort against migrants. The Trump administration has plans to revoke the legal status of more than 1.8 million migrants, writes Reuters.
