The Senate on Thursday prepared to hold a test vote on legislation allowing Congress to weigh in, and possibly reject, the nuclear deal the Obama administration is completing with Iran, the Associated Press reported.

Senate Majority Leader Mitch McConnell, a Republican from Kentucky, said that the American people needed to have a chance to review any agreement reached with Tehran through their lawmakers and urged his colleagues to support the legislation. A 60-vote majority on the test vote would likely jettison the bill proposed by a bipartisan coalition.

"The Iran Nuclear Agreement Review Act offers the best chance for our constituents, through the Congress they elect, to weigh in on the White House negotiations with Iran," McConnell said.

"And make no mistake, they need to have that opportunity," the majority leader added.

After negotiating with Iran for months alongside representative from the four other permanent members of the U.N. Security Council and Germany, the United States is hoping to finalize an agreement on Iran's nuclear program by a self-imposed June 30 deadline. Talks with Tehran are set to resume in Vienna next week.

The legislation pending before Congress would block President Barack Obama from waiving congressional sanctions against Iran for at least 30 days and give lawmakers time to weigh in on any final deal with the Islamic Republic, the newswire detailed.

It would also curtail the president's authority to waive certain economic penalties if senators disapprove of the agreement with Tehran.

Still, the bill has gained tacit approval from the White House, which has said Obama would only veto it if it were substantially changed through so-called "poison pill" amendments. But its author, Tennessee Sen. Bob Corker, said that was unlikely, according to Voice of America.

"There probably won't be that many [amendments voted on]," insisted Corker, a Republican who chairs the Senate's Foreign Relations Committee.

Democratic Sen. Richard Blumenthal, meanwhile, echoed his colleague's optimism.

"I will be very happy if we move forward on a bill without the poison amendments that would forestall or sabotage an agreement (with Iran)," the Connecticut lawmaker noted.