WASHINGTON — CIA Director William Burns arrived Tuesday in Qatar as US officials struggle to free Americans still held hostage by Hamas terrorists.

Burns is expected to discuss a possible extension of a five-day truce in the Gaza Strip as disappointment grows in Washington that just one American has been released since Israel halted its invasion on Friday.

As many as eight US citizens and one permanent resident remain held as the Israeli military attempts to eject the terrorist group from the coastal territory it has controlled since 2007.

Burns is due to meet with Israeli and Egyptian spy chiefs and with Qatari officials working to negotiate the releases of about 240 people abducted during Hamas’ Oct. 7 surprise attack on southern Israel.

The White House says it’s unsure how many US hostages remain alive, but that two missing women appear to qualify for release under Hamas’s decision to free women and children in exchange for Israel stopping its attack and freeing Palestinian prisoners.

“Director Burns is in Doha for meetings on the Israel-Hamas conflict, including discussions on hostages,” a source familiar with the matter told The Post.

The source declined to confirm reports that Burns is meeting with Qatari Prime Minister Sheik Mohammed Bin Abdul Rahman al-Thani, Mossad director David Barnea and Abbas Kamel of Egypt’s intelligence service.

During a meeting with Burns, Barnea stressed to his peers that Israel isn’t keen on hashing out a new agreement until all women and children currently held in Gaza have been released, Axios reported.

The intel chiefs had reportedly weighed a possible three-day extension to the current pause. 

Israel and Hamas agreed Monday to an additional two-day pause in fighting, meaning combat would likely resume Thursday morning Israel time if no additional halt is brokered.

Top of mind for Burns is securing the release of additional American hostages after 4-year-old Abigail Edan was set free over the weekend.

The White House said Tuesday it had no indication that Hamas was strategically holding onto other Americans as it frees citizens of Israel and other nations.

“We want to see all the hostages out… and so we’re going to keep working with Israel, with Qatar, with Egypt to see if we can extend this more,” National Security Council spokesman John Kirby told reporters on Air Force One during a presidential flight to Colorado Tuesday.

Kirby added that “there’s no indication at all that Hamas is trying to use leverage or something to keep Americans from getting out.”

“I think it’s important to remember a couple of things,” Kirby went on. “One, the pool of Americans is pretty small and the pool of Americans that qualify right now — women and children — is smaller still.

“Number two, we can’t just assume that Hamas has ready access to everybody in a moment’s notice, or that all of the Americans are being held by Hamas, and certainly not that they’re in the same place. So we don’t have perfect visibility on where they are. We know Hamas can get to all the hostages if it wants to and it has the ability to do that.”

President Biden has indicated the initial four-day pause that began Nov. 24 came with the understanding that Israel could extend the pause for each day that Hamas releases 10 additional hostages.

On Tuesday evening, the White House tweeted from Biden’s account on X an aspirational message about post-war peace.

“Hamas unleashed a terrorist attack because they fear nothing more than Israelis and Palestinians living side by side in peace,” the tweet said. “To continue down the path of terror, violence, killing, and war is to give Hamas what they seek. We can’t do that.”

Under the current arrangement, Hamas is expected to release about 90 of the 240 hostages it took in its bloody Oct. 7 surprise attack.

Meanwhile, Israel initially agreed to release 150 Palestinian prisoners under the original deal and consented to set free 60 more under the extension.

Qatar’s involvement is significant because the Middle Eastern nation has repeatedly acted as a mediator between Israel and Hamas — while hosting the terror group’s political leaders in exile.

Burns previously conferred with Sheikh Mohammed and Barnea in Doha on Nov. 9.

Approximately 1,200 civilians were killed in the Oct. 7 terror attack by Hamas, including 33 Americans.

Israel has responded by carrying out punishing bombardments of Hamas targets in the Gaza Strip and launching a ground invasion to root out the terror group and its infrastructure.