The decision to limit Haspel's briefing to fewer than a dozen senators has angered others, like Sen.
Khashoggi, a USA resident, was murdered in the Saudi consulate in Istanbul, Turkey, on October 2.
John McCain, who has been on board with much of President Donald Trump's agenda since McCain's death in August, Graham has sided with critics of Trump's Saudi Arabia policy over the Khashoggi incident.
"The views that I had before have only solidified", said Sen.
"Somebody should be punished, but the question is: How do you separate the Saudi crown prince from the nation itself?"
Yasin Aktay an adviser to Turkey's President Recep Tayyip Erdogan with United States actor Sean Penn, in Ankara, Turkey.
Corker said Haspel gave the "most precise presentation I've ever heard in 12 years" in her briefing on the Khashoggi murder.
But the White House has threatened a veto of the legislation, and leaders in the Republican-controlled House haven't shown any interest in taking it up. Chris Murphy, a Democrat Connecticut who co-sponsored a bipartisan resolution calling for an end to the USA role in Yemen.
Many lawmakers have been calling for months for an end to USA refueling of Saudi jets that bomb Yemen, often killing civilians.
While the Trump administration has repeatedly distinguished Khashoggi's murder and the war in Yemen as separate issues, lawmakers are tying both together as a showcase of how blank-check support for Saudi Arabia erodes US moral standing. "Guilty. A guilty verdict", Corker, the chairman of the Senate Foreign Relations Committee, told reporters after the briefing. Todd Young (R) said the administration was "clearly and directly blown off" by Riyadh. "The motion to proceed's going to pass, and we're going to be in a fearless new world", the Connecticut Democrat told Roll Call on Tuesday. As the leader of the free world, we have to accomplish two goals: defend human rights while also attempting to maintain important relationships with key allies that we hope will help us bring stability to critical parts of the world.
Saudi Arabia had detained 21 people and says it is seeking the death penalty for five. "We are doing everything we can to go down every rabbit hole to find what's there and that's my responsibility because a significant amount of the USA intelligence apparatus, including a rather critical part of it, is under my cognizance".
But others strongly oppose linking the Yemen conflict with the killing of the journalist.
As Common Dreams reported, the Senate last week advanced Sen. Though it was passed almost 50 years ago, there is still a debate over whether the resolution is constitutional. The Senate is expected to vote next week on the Yemen resolution, but senators are wrestling with how to limit amendments to prevent a freewheeling floor debate that would allow votes on unrelated issues.