“As you know, we made our position on Jerusalem clear and we view these final-status issues as needing to be negotiated among the parties on the basis of a final solution,” Mr. Safadi said while sitting beside Mr. Tillerson. “The challenge is how to move forward and make sure it does not get worse.”

The softer response may have partly resulted from the passage of several weeks’ time, or the signing of the aid agreement. Or maybe it was because Mr. Pence had stood smiling behind President Trump when he made the announcement about Jerusalem, while Mr. Tillerson was nowhere to be seen. Or maybe it was because Mr. Tillerson was known to have successfully lobbied President Trump to only halve funding for the United Nations agency that provides aid to millions of Palestinian refugees instead of eliminating it altogether, as Ms. Haley and others in the White House were known to have advocated.

The relief agency underwrites schools and health clinics that serve hundreds of thousands of Palestinian refugees in Jordan.

Mr. Tillerson also made clear during his Jordan visit that he was not directly involved in the Trump administration’s long-awaited Middle East peace plan between Israelis and Palestinians. While describing it as “fairly well advanced,” Mr. Tillerson said it was up to Mr. Trump to decide when to release the plan.

Jared Kushner, the president’s son-in-law and senior adviser, and Jason D. Greenblatt, Mr. Trump’s special Middle East envoy, have been developing the plan, which has largely excluded Mr. Tillerson and the State Department. Palestinian leaders have in recent months refused to participate in talks about the plan to protest Mr. Trump’s Jerusalem decision.

Nonetheless, Mr. Trump is expected to unveil the peace plan fairly soon.

“I have seen the elements of the plan that’s been under development for a number of months,” Mr. Tillerson said at a news conference in Jordan’s Ministry of Foreign Affairs and Expatriates. “I have consulted with them on the plan and identified areas that we feel need further work.”

But he said the plan and the timing for its release were in Mr. Trump’s hands.

“I think it’ll be up to the president to decide when he feels it’s time and he’s ready to put that plan forward,” Mr. Tillerson said.