"We haven't received any new information or outcome of the investigation from the Saudi side," Mevlut Cavusoglu said on the sidelines of a conference in Turkish ally Qatar.
"Turkey will not give up on this, we will go to the end."
Earlier this month, the minister said Turkey was in talks over a possible United Nations investigation into the October 2 murder, which has provoked global outrage.
Sons of slain Saudi journalist Jamal Khashoggi appeal for the return of his body
The 59-year-old Khashoggi, a palace insider turned critic of the Saudi regime, was strangled and his body cut into pieces by a 15-strong Saudi hit squad, according to Turkish officials.
The US Senate gave its unopposed backing on Thursday to a resolution holding the kingdom's de facto ruler, Crown Prince Mohammed bin Salman, responsible for the murder after the Central Intelligence Agency reportedly concluded he gave the orders.
Turkish President Recep Tayyip Erdogan has said that the killing was ordered at the highest levels of the Saudi government, although he has repeatedly absolved the ageing King Salman.
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