Earlier this month, President Obama rejected that idea. “The notion that we would condition Iran not getting nuclear weapons in a verifiable deal on Iran recognizing Israel is really akin to saying that we won’t sign a deal unless the nature of the Iranian regime completely transforms,” the president told NPR. “And that is, I think, a fundamental misjudgment. I want to return to this point: We want Iran not to have nuclear weapons precisely because we can’t bank on the nature of the regime changing. That’s exactly why we don’t want to have nuclear weapons.”

Many Republicans support the idea, however, while some influential Democrats, such as New York Sen. Chuck Schumer, have declined to comment on any amendments.

“If it gets offered, that’s a very hard vote because we all support Israel’s right to exist and Iran recognizing that,” says South Dakota Republican Sen. John Thune. “I think that’s awfully hard to vote against but we’ll see how it is structured and if it happens or not.”