Erdogan also said Saudi Arabia's public prosecutor was due in Istanbul on Sunday to meets its regional chief prosecutor.
Turkey intensified investigations at the Saudi consulate last week, with prosecutors concluding interrogation of 38 employees and taking samples from a well and the sewage system in the consulate garden.
Initially, Saudi Arabia said Khashoggi had left its consulate alive on October 2, but almost three weeks later, the Arab kingdom admitted he had been killed at the diplomatic mission's building due to a fight, an account that has caused scepticism and which several governments have questioned. The kingdom initially said it knew nothing about what happened to Khashoggi, but on Thursday said evidence shows that the killing was premeditated.
The CIA had no comment on a Washington Post report that Haspel had listened to audio purportedly capturing Khashoggi's killing.
President Donald Trump has hardened his stance on the matter in the past week, calling it the "worst cover-up in history", while at the same time emphasising Saudi Arabia's role as America's most important Arab ally and the value of United States arms sales to the country.
Jamal Khashoggi's son leaves Saudi Arabia as kingdom says killing was 'planned'
Cengiz said Khashoggi was concerned tensions would arise when he visited the consulate for the first time on September 28, but he was treated well at that visit, which appeared to reassure him, she said.
"But he said he didn't", she says.
He said the kingdom was certain that a "mistake was committed" in the killing of Mr Khashoggi, and that the people responsible had "exceeded their authority". All four of Khashoggi's children are now in the U.S.
Saudi state media said they offered their condolences to the family, but photos of the prince shaking hands with Salah went viral on social media, where rights activists demanded the immediate lifting of the travel ban.
Meanwhile, the crown prince has been assigned by his father, King Salman, to oversee the restructuring of Saudi intelligence bodies in the aftermath of the killing.
Saudi journalist Jamal Khashoggi was the victim of an "extrajudicial execution" committed by the Saudi state, a United Nations expert said Thursday, calling for an global investigation.
Liverpool's Xherdan Shaqiri: Hostile Belgrade reception is not a worry
Liverpool will next face newly-promoted Cardiff City at Anfield on Saturday in the Premier League . It's an exceptional number and hopefully he can continue.