WASHINGTON — The Trump administration is furiously trying to fend off a bipartisan effort in Congress to halt American military support to the deadly Saudi-led bombing campaign in Yemen as the kingdom’s influential young crown prince, Mohammed bin Salman, arrives in Washington this week for talks with President Trump.

Even as the State Department weighs approval of more than $1 billion in new arms to the Saudis, lawmakers are pushing for a resolution that they say would prevent Washington from giving the Saudis “a blank check” in the conflict. According to the United Nations, 10,000 civilians have been killed and 40,000 wounded in the fighting, exacerbating one of the world’s worst humanitarian crises.

Top Pentagon and State Department officials rushed to Capitol Hill last week to warn senators in a closed, classified briefing that approving the Senate measure could seriously damage relations with Saudi Arabia. The crown prince is scheduled to meet with the president and other officials on Tuesday, and a vote on the measure could come later this week.

Since 2015, the United States has provided the Saudi-led air campaign in Yemen with air-to-air refueling, intelligence assessments and other military advice. “New restrictions on this limited U.S. military support could increase civilian casualties, jeopardize cooperation with our partners on counterterrorism and reduce our influence with the Saudis,” Defense Secretary Jim Mattis said in a letter last week to Senator Mitch McConnell of Kentucky, the majority leader.