WASHINGTON — The Trump administration is putting the finishing touches on its long-awaited Middle East peace plan, three senior officials said on Sunday, and President Trump is likely to present it soon, despite risking swift rejection by the Palestinians and having already taken on another of the world’s thorniest disputes, with North Korea.

While the exact timing of the plan’s release is still not set, these officials said, the most immediate challenge for the White House is how to roll it out so that it is not proclaimed dead on arrival.

The Palestinians remain furious over the president’s decision to recognize Jerusalem as the capital of Israel, and they have refused White House entreaties to come back to the table. The administration is considering simply revealing the document, in the hopes that it will pressure the Palestinians to return.

Another complicating factor is the fluid political situation in Israel. Prime Minister Benjamin Netanyahu, who faces indictment on fraud charges, may call early elections to try to win a popular mandate and shore up his position. His legal troubles, analysts said, will make him even less inclined to make concessions to the Palestinians because that could alienate his right-wing base.