But Saudi Energy Minister Khalid Al Falih said on Monday "there is no intention" to impose an oil embargo.
CNN Turk said authorities would be able to search the auto on Tuesday.
"This is an aberration", al-Jubeir said in the Fox television interview. After weeks of denying involvement in Khashoggi's disappearance, on Friday Saudi Arabia said that he was killed in the Istanbul consulate, saying his death was the result of a "fistfight".
Khashoggi went missing on October 2 when he entered the consulate in Istanbul to obtain documents for his upcoming marriage.
Kushner, whose wide White House portfolio includes being tasked with brokering peace with the Middle East, insisted that Saudi Arabia remains "a very strong ally" and that "we've made a lot of progress".
"With regards to the situation in Saudi Arabia I'd say that right now as an administration we're now more in the fact-finding phase", Kushner said during the CITIZEN by CNN forum in NY.
And then we'll determine which facts are credible.
"The Turks have been talking more to the media than they have us", Corker said of the North Atlantic Treaty Organisation ally.More news: Turkey's Tupras 'in talks' with US for Iran sanctions waiver
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His statement to a parliamentary committee will coincide with the opening of a major investment conference in Riyadh that has seen several world and business leaders pull out as the scandal around Khashoggi's death grows.
New surveillance video from Istanbul appears to show a Saudi agent wearing journalist Jamal Khashoggi's clothing and leaving Riyadh's consulate on October 2, presumably in an attempt to cover up his killing by showing he had left the diplomatic outpost alive.
"Indeed such reports are also incompatible with Saudi Arabia's own stated goal of progress and renewal".
Kushner said his advice to Prince Mohammed has been to "be transparent" in his proceedings.
Turkish President Recep Tayyip Erdogan said that he will "go into detail" about the Khashoggi case in a speech in parliament on Tuesday.
He told MPs: "We have an important strategic partnership with Saudi Arabia involving defence and security co-operation which has saved lives on the streets of Britain". I think he'll make peace with Israel.
"Their stories are all over the place", he said, but emphasized the importance of US-Saudi relationship to Washington's regional strategic goals. Mr. Mutreb's name also matches that of a first secretary who once served as a diplomat at the Saudi Embassy in London, according to a 2007 list compiled by the British Foreign Office.