Meanwhile, Turkish President Recep Tayyip Erdogan said "God willing, we will not be faced with the situation we do not desire" when asked by journalists about Khashoggi. The Saudi government has denied the allegation. "We have jobs, we have a lot of things happening in this country".
US President Donald Trump speaks as he arrives at the White House in Washington, DC, on October 8, 2018.
Britain urged the Saudi government to explain what happened.
"Violence against journalists worldwide is going up and is a grave threat to freedom of expression". His fiancee and friends have said he did not leave the building.
Khashoggi's fiancé told the authorities that he was required to submit his cell phone to Saudi officials upon entering the building - a practice that is not uncommon. There were no details about when the search would take place.
Mr Khashoggi, a U.S. resident and critic of the Saudi monarchy, entered the Saudi consulate in Istanbul on 2 October and has not been seen since.
It was not immediately clear if the Anadolu report referred to one of those aircraft.
Earlier on Tuesday, foreign secretary Jeremy Hunt met the Saudi ambassador, Prince Mohammed bin Nawaf Al Saud, to voice the UK's concern about the disappearance Mr Khashoggi.
President Donald Trump says the U.S.is looking into the fate of a Saudi writer missing and feared murdered but expressed reservations over calls to withhold further USA arms sales to Saudi Arabia, warning that such a move "would be hurting us".
"We have been working on it since they came to us, our intelligence and police department have been working on it".
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"Perhaps I'm simply trying to hide from the thought that I have lost a great man whose love I had earned".
He also called for Saudi Arabia to provide evidence, like surveillance footage, that proves the journalist left the consulate building safely. "As the president of the Turkish Republic I am following it, chasing it and, whatever conclusions come from here, we will inform the world about it", he said.
Less than a day after saying he was "concerned" for Khashoggi, Trump said he would talk with Saudi officials "at some point".
The UN's human rights office has said it would be "truly shocking" if the grisly reports coming from Turkish officials are confirmed.
"He walked into the consulate of Saudi Arabia, his native country, without doubting he would be safe there", wrote Hatice Cengiz, who added that she became concerned when he did not return from the consulate after three hours.
Khashoggi had sought to become a US citizen after living in self-imposed exile since past year, fearing repercussions for his criticism of the prince, Cengiz wrote. These leaks, largely matching across Turkey's state-run media and private Erdogan-linked outlets, likely come from the country's security services as another means to pressure the kingdom over Khashoggi's October 2 disappearance. Relations were already strained after Turkey sent troops to the Gulf state of Qatar previous year in a show of support after its Gulf neighbors, including Saudi Arabia, imposed an embargo on Doha.
The Washington Post, the daily to which Khashoggi was a contributor, reported that Saudi Crown Prince Mohammed bin Salman ordered an operation to "lure" the critical journalist back home.
Mr Erdogan was more circumspect, saying on Sunday he remained "positive" and would await the results of an investigation as Turkish authorities continue to look at camera footage and airport arrivals and departures.