"Yes, we’ll pass it. We'll pass it later this week," Senate Republican leader Mitch McConnell said in an interview with ABC.
Republican Representative Paul Ryan, chairman of the House Ways and Means Committee, expressed similar confidence on CNN's "State of the Union.”
"We will have the votes," he said. "We're doing very well. We're gaining a lot of steam and momentum."
The trade issue has made unlikely allies of Republicans in Congress and the president and split the president’s own Democratic Party. Only one Democrat Senator voted for it when the bill first went through the Senate.
As if to accentuate the odd nature of the alliance, McConnell offered President Barack Obama rare praise.
"The president has done an excellent job on this," McConnell said. McConnell also noted that the authority would go beyond Obama’s last term so it’s "not just for President Obama, but for the next president as well."
While the Senate has passed the overall measure, ardent debate is still expected on a number of controversial amendments before it will be pushed over to the House. The debate will likely be even more heated in the House where many Democrats are opposed on the grounds that they believe it will cost American jobs.