Republicans are dropping their demands for additional spending cuts and are expected to hold a House of Representatives vote on the Senate-approved compromise to avert "fiscal cliff" tax rises and spending cuts.
The House vote was expected on Tuesday night, US time.
A decision by the Republican-run House to amend the Senate-passed Bill would have complicated prospects for final congressional passage of the measure.
Senate Democratic aides have said the Democrat-led Senate, which overwhelmingly approved the compromise on Tuesday, would not return to vote on an amended version of the Bill.
The measure would allow tax increases on the highest-earning Americans, but retain decade-old income tax cuts for everyone else.