Paul Manafort, the former campaign manager for President Donald Trump surrendered to federal authorities on Monday.
The charges would be the first from the investigation of Justice Department special counsel Robert Mueller, who was appointed to look into alleged Russian meddling to sway the election in favor of Trump.
The Times also reported that Manafort associate Rick Gates would also surrender.
Manafort, 68, served the Trump campaign from June to August of 2016 before resigning amid reports he may have received millions in illegal payments from a pro-Russian political party in Ukraine.
Mueller has been investigating Manafort's financial and real estate dealings and his prior work for that political group, the Party of Regions, which backed former Ukrainian leader Viktor Yanukovich.