Google has said it would harm consumers and businesses if it is forced to sell Chrome, the world's most popular web browser.
The US Department of Justice (DOJ) will propose the measure to a judge on Wednesday, US media has reported.
Judge Amit Mehta ruled Google operates an online search monopoly in August, and has been considering what remedies or penalties to impose.
The DOJ has not commented on the report - but Google has made clear it is a proposal it opposes.