Turkish authorities suspect that the journalist may have been killed while inside the consulate, but Saudi denied the accusation.
A slew of business executives and media companies have said they will skip the Future Investment Initiative - dubbed "Davos in the Desert" - scheduled for later this month in Riyadh since Khashoggi vanished after entering the Saudi consulate in Istanbul on October 2.
The staffers include drivers, accountants, and telephone operators.
President Donald Trump has acknowledged it "certainly looks" as though missing Saudi journalist Jamal Khashoggi is dead, and he threatened "very severe" consequences if the Saudis are found to have murdered him.
Turkish officials have said they believe Khashoggi was murdered at the consulate and his body chopped up and removed.
Saudi Arabia has not responded to repeated requests for comment from the AP over recent days over Khashoggi's disappearance.
Before Trump spoke Thursday, the administration announced that Treasury Secretary Steven Mnuchin had pulled out of a major upcoming Saudi investment conference and a USA official said Secretary of State Mike Pompeo had warned the Saudi crown prince that his credibility as a future leader is at stake. Citing an anonymous senior Turkish official, ABC News reported on Thursday (Friday NZT) that Pompeo heard the alleged recording during meetings in Turkey and received a transcript of it.
"It is out of the question for Turkey to give Pompeo or any other United States official any audio recording", Cavusoglu told reporters during a visit to Tirana, Albania.
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Secretary of State Mike Pompeo arrived in Mexico City to discuss bilateral issues Friday with his Mexican counterparts. It is not a solicitation to make any exchange in commodities, securities or other financial instruments.
Treasury Secretary Steve Mnuchin said on Friday that he has made a decision to attend an anti-terror meeting next week in Riyadh in which Saudi security services under scrutiny in Jamal Khashoggi's disappearance will take part, according to a report. "We have not shared any information at all with any country".
The pro-government Sabah newspaper published a series of photos of a man identified as someone who travels with the Saudi crown prince.
He said he was waiting for the results of the Saudi investigation so that "we can get to the bottom of this very soon".
A leaked surveillance photo published by the same paper on Thursday (Friday NZT) showed that a member of Prince Mohammed's entourage during several trips overseas had walked into the Saudi consulate, just before the writer disappeared there on October 2.
Turkish officials say Maher Abdulaziz Mutreb flew into Istanbul on a private jet along with an "autopsy expert" October 2 and left that night.
Senior government ministers and business leaders from across the globe, including British Finance Minister Liam Fox, pulled out of a business conference in Saudi Arabia next week putting the event into doubt. But a number of European finance ministers and many top business executives have pulled out as worldwide pressure on Riyadh has intensified over Khashoggi.
Foreign Minister Jeremy Hunt said this morning that allegations levelled at Saudi Arabia would be totally unacceptable if true and any response my Britain would be "considered".
Khan has been trying to secure bailout loans from International Monetary Fund to avoid an economic meltdown and is also seeking loans from Riyadh.