CIA Director Mike Pompeo has said he would work to ‘fix’ the landmark 2015 nuclear deal with Iran.

WASHINGTON—A Senate committee is on track to vote Monday against endorsing the nomination of CIA Director Mike Pompeo to be secretary of state, which would mark an unusual rebuke to a central member of President Donald Trump’s foreign policy team.

The Senate Foreign Relations Committee is scheduled to vote on Mr. Pompeo’s nomination on Monday evening. All of the panel’s Democrats have said they would oppose the former congressman’s nomination, and they have been joined by one Republican, Sen. Rand Paul of Kentucky.

That gives Mr. Pompeo’s opponents a majority on the committee, which is composed of 11 Republicans and 10 Democrats.

Under Senate procedures, the nomination can still be brought to the chamber’s floor, where the math is more favorable for Mr. Pompeo and most senators believe he is likely be confirmed. Still, Mr. Pompeo would be the only secretary of state in modern history to be confirmed by the full Senate without winning a committee endorsement.

One Democrat who is not on the foreign relations panel, Sen. Heidi Heitkamp of North Dakota, has said she would support Mr. Pompeo, and she could be joined by other red-state Democrats, especially those facing re-election this year.

Mr. Pompeo would replace former Secretary of State Rex Tillerson, who had a difficult relationship with the White House and with his own department.

Some Republicans on Sunday criticized the committee’s Democrats for opposing Mr. Pompeo’s nomination, accusing them of taking a partisan approach to foreign policy. Sen. Bob Corker (R., Tenn.), the chairman of the Senate Foreign Relations Committee, called Mr. Pompeo “highly qualified” and said, “It’s just sad that our nation has devolved politically to this point.”

“Under ordinary times, he would be confirmed overwhelmingly,“ Mr. Corker said on CNN’s State of the Union. ”We just live in a very partisan environment.”

Sen. Bob Corker (R., Tenn.), chairman of the Senate Foreign Relations Committee, called Mr. Pompeo ‘highly qualified.’