In private conversations with Israeli officials and a few public statements, administration officials have emphasized that they remain skeptical of Iran’s intentions on the nuclear program, and that they will judge Iran by its actions, not by the conciliatory words of its newly elected president, Hassan Rouhani. In advance of his arrival in New York next week for a meeting of the United Nations General Assembly, Mr. Rouhani has signaled a willingness to negotiate an agreement over the future of Iran’s nuclear program…

“We certainly recognize and appreciate Israel’s significant concerns about Iran, given the threats that have been made against Israel and the outrageous comments that have come out of Iran for many years about Israel,” Benjamin J. Rhodes, a deputy national security adviser, told reporters on Friday, previewing the message that Mr. Obama will deliver to the United Nations next Tuesday, a week earlier than Mr. Netanyahu.

“There’s not an open-ended window for diplomacy,” Mr. Rhodes said. “But we do believe there is time and space for diplomacy.”…

“Netanyahu’s words were most likely meant for the ears of the members of Congress, so they will not let Obama get carried away by Rouhani’s overtures,” Ron Ben-Yishai, a journalist, wrote in an analysis published on Ynet, an Israeli news site. “The Israelis are also telling their American counterparts that just like in the case of the Syrian crisis, a credible military threat is needed in order to get results on the diplomatic track.”