Haspel will brief leaders of key Senate committees including Foreign Relations, Armed Services and the Appropriations Committee's Subcommittee on State, Foreign Operations and Related Programs, according to the source. Frustrated with the administration's response, senators voted last week to move forward on a resolution curtailing USA backing for the Saudi-led war in Yemen.
Earlier in the day on Tuesday, Republican Senator Rand Paul voiced his frustration that "most rank-and-file senators and congressmen" were not invited to the meeting with Haspel.
Haspel did not attend a briefing about Khashoggi's killing that was given to all senators last week by Defense Secretary James Mattis and Secretary of State Mike Pompeo.
Some senators were frustrated that they were not invited to the briefing with Haspel.
"To my mind, this is the very definition of the deep state", Paul said in an interview on Fox News.
Sen. Bob Corker says a jury would find the Saudi crown prince 'in about 30 minutes.'
Khashoggi, a Washington Post columnist and American resident, was murdered and dismembered minutes after he entered the Saudi consulate in Istanbul, Turkey on October 2 - allegedly on orders from Saudi Crown Prince Mohammed bin Salman. The journalist, who had lived for a time in the US and wrote for The Washington Post, had been critical of the Saudi regime. "Was there a phone conversation between the crown prince and the killers?" said Paul, about what he would have asked the Central Intelligence Agency director had he been allowed into the briefing.
The senators were not allow to disclose details of what they were told, but their reaction reinforced reports that the Central Intelligence Agency had accumulated substantial evidence that the crown prince was behind the murder.
"We are a coequal branch of government exercising leadership to safeguard the country's long-term interests, values and reputation", wrote Graham, a frequent ally of the president.
Senate Foreign Relations Committee Chairman Bob Corker said he believes if the crown prince were put on trial, a jury would find him guilty in "about 30 minutes". "A guilty verdict", Corker said.
Even if the Yemen resolution passes the Senate, it appears unlikely to advance in the House.