Senate Majority Leader Mitch McConnell (R-Ky.) said Sunday that the Senate would sign off on a measure that would give President Obama broad international trade authority but has been met with resistance from many members of the president's own party.

"We’ll pass it later this week," McConnell said on ABC's "This Week with George Stephanopoulos." "The president has done an excellent job on this, I point out to my members who are somewhat squeamish, as you can imagine, giving the president the power of any issue, given his expansive view of his powers on so many other issues. But this is a trade promotion authority not just for President Obama but for the next president, as well."

The Senate voted to move ahead last week with the "fast track" bill, which could clear the way for Obama to finalize a sweeping multinational trade agreement known as the Trans-Pacific Partnership. The vote came after Democrats blocked the bill in an earlier vote over concerns about enforcement.

Rep. Paul Ryan (Wis.), the chairman of the House Ways and Means Committee, said Sunday that he was confident about the bill's chances in his chamber.

"We will have the votes," Ryan said on CNN's "State of the Union." "We're doing very well. We're gaining a lot of steam and momentum. There's a misnomer. It's really not granting the president authority; it's actually Congress asserting its prerogatives, its authority in how trade agreements are done."

Sen. Bernie Sanders (I-Vt.), who is running for president, reiterated his opposition to granting the trade authority and called on Democratic White House rival Hillary Clinton to take a clear position on the matter.

"You can’t be on the fence of this one," Sanders said.

In New Hampshire last month, Clinton said, "Any trade deal has to produce jobs and raise wages and increase prosperity and protect our security. We have to do our part in making sure we have the capabilities and the skills to be competitive."

Sanders added: "When we talk about why the middle class is disappearing and why the gap between the very, very rich and everybody else is growing wider, you've got — you have to talk about disastrous trade agreements that have allowed corporate America to shut down in this country and move to China, Mexico and other low-wage countries."