Such an outcome which looked all but inconceivable in the days after the deal was signed July 14 remains a long shot. It would be a major victory for Obama, who is staking his foreign policy legacy largely on the agreement struck by the U.S.
Iran, and five world powers to dismantle most of Iran's nuclear program in exchange for billions in sanctions relief.
As of now 28 Democratic senators publicly support the deal, with just two opposed. But supporters feel so confident that they can get to 34 that some have begun to say in private that 41 may even be in reach.
Many caution that remains a remote possibility, with Republicans unanimously opposed and Israeli officials arguing vehemently against a deal they say could empower enemies sworn to their destruction. And yet predictions that Republican opponents and the powerful-pro-Israel lobby would use Congress' August recess to make the deal politically toxic have not come to pass.
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"We feel good about the fact that after two-thirds of the Democratic caucus has committed that we have substantial support for the president with only two dissenters," Sen. Dick Durbin, a Democrat who is rounding up supporters of the deal, said in an interview. "We continue to work it. I think the two that came out this week so far, Harry Reid and Debbie Stabenow, are very helpful," Durbin said, though he declined to predict success.
"I know it's a long shot, I hope that it can be done," he said of prospects for blocking the disapproval resolution. "We'll just have to see. Because right now, it's based on a whole lot of uncounted votes.