If Republicans were to try to kill the Obama administration's nuclear deal with Iran, House Democrats would have enough votes to sustain a presidential veto of any such legislation, House Minority Leader Nancy Pelosi, D-Calif., told The Associated Press on Wednesday.

The former House speaker expressed confidence that the GOP lacked the support from across the aisle it would need to reach the two-thirds majority required to override a veto -- even though fewer than 60 Democrats have publicly said that they back the agreement with Tehran.

"The president's veto would be sustained" if the vote were held today, Pelosi said, adding she hoped it would not come to such a confrontation. "But I feel very confident about it."

Congress is scheduled to vote next month on a resolution to disapprove the nuclear deal with the Islamic Republic, and Republican critics are expected to prevail on the issue. In the Senate, meanwhile, two prominent Democrats -- New York's Chuck Schumer and New Jersey's Bob Menendez -- have already revealed that they will not support the president.

"I have looked into my own soul and my devotion to principle may once again lead me to an unpopular course, but if Iran is to acquire a nuclear bomb, it will not have my name on it," Menendez said as he announced his decision on Tuesday. "It is for these reasons that I will vote to disapprove the agreement and, if called upon, would vote to override a veto."

Referencing his former Senate colleagues Joe Biden and John Kerry, Menendez appeared to take issue with Obama's criticism of the deal's opponents.

"Unlike President Obama's characterization of those who have raised serious questions about the agreement, or who have opposed it," the New Jersey senator said. "I did not vote for the war in Iraq; I opposed it -- unlike the vice president and the secretary of state, who both supported it."

Other prominent Democrats, including Chicago Mayor Rahm Emanuel, meanwhile, insisted they continued to back the deal.

"The simplest way to say it is, if I was in Congress, I would support the president's initiative," Emanuel told the Chicago Sun-Times. "But I'm not in Congress, thank God."