The Post also reported that bin Salman, in conversations with the White House, has described Khashoggi as "a risky Islamist", claiming he was a member of the Muslim Brotherhood.
A spokesman for Turkey's ruling Justice and Development party says the dissident Saudi journalist could not have been murdered without high-level order from the kingdom.
WASHINGTON, Nov 1 - Secretary of State Mike Pompeo said on Thursday it would be a "handful more weeks" before the United States had enough evidence to impose sanctions in response to the killing of Saudi journalist Jamal Khashoggi at the Saudi consulate in Istanbul.
Prince Mohammed reportedly said this in a phone call with the White House after Khashoggi disappeared but before Saudi Arabia admitted killing him.
The murder has placed strain on the decades-old alliance between the United States and Saudi Arabia and tarnished the image of Crown Prince Mohammed bin Salman, the ultra-conservative kingdom's de facto ruler.
Saudi Arabia has changed its account of what happened to Khashoggi.
"The tragic and unjustified" slaying of Khashoggi "is the theme of today's onslaught and demonization of Saudi Arabia in the same fashion as the previous crises".
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The Crown Prince urged the advisors to preserve the US-Saudi alliance and claimed the journalist was a member of the Sunni Islamist organisation the Muslim Brotherhood, according to the Washington Post.
Mr Khashoggi's family vehemently denied that he was in any way unsafe or a member of the Muslim Brotherhood.
The crown prince stated Khashoggi was a member of the Muslim Brotherhood, prior to Saudi Arabia formally acknowledging it was responsible for the journalist's death. "He denied such claims repeatedly over the past several years", the statement said.
He entered the consulate to sort out documents for his marriage to his Turkish fiancée, Hatice Cengiz.
Fidan, the Istanbul prosecutor, on Wednesday said that Khashoggi was strangled shortly after entering the consulate and that his body was dismembered afterward.
UK Foreign Secretary Jeremy Hunt also said it was an appalling act, adding that it had "possibly" given the U.S. and the UK a chance to put new pressure on Saudi Arabia over other issues. The Turks added that the Saudi prosecutor also said no statement had been made by Saudi authorities about the existence of the purported local cooperator.
"Jamal Khashoggi was not a unsafe person in any way possible".