Turkish President Recep Tayyip Erdogan, who has kept worldwide pressure mounting on the kingdom, is expected to attend.
Saudi-owned Al-Arabiya television reported the prince will attend the upcoming Group of 20 summit in Argentina, his first overseas trip since the murder.
"We will swiftly impose many sanctions [on Saudi Arabia] based on what we know [about Khashoggi]", Jean-Yves Le Drian said in an interview with Europe 1 Radio.
World leaders, many of whom are expected at the G20 summit, have strongly condemned Khashoggi's slaying and have urged Saudi Arabia to hold everyone involved in the killing accountable.
But US President Donald Trump has praised Saudi Arabia as a "truly spectacular ally" and has refrained from blaming Prince Mohammed despite the Central Intelligence Agency's reported assessment that he was behind the killing.More news: Bears Beat Vikings 25-20, Tighten Grip On NFC North
US Senator Lindsay Graham said on Sunday that Congress was considering ways to respond to the killing, adding that it was "impossible to believe" that Mohammad was not aware of the plan to kill Khashoggi.
Over the weekend, Trump called reports that the crown prince ordered the killing "premature".
At the beginning of the Khashoggi crisis, Saudi media claimed some of the 15-man team sent to Istanbul for the mission were Saudi tourists visiting to undergo hair transplants.
"The crown prince is sending a very clear message to the global community that nothing they say or do over the Khashoggi affair will interfere with Saudi decision making", said Kristian Ulrichsen, a fellow at Rice University's Baker Institute in the United States.
Vice President Mike Pence told reporters that Trump on Tuesday would review information about Khashoggi's death and then make his decisions about the United States' "enormously important strategic relationship" with Saudi Arabia, which is aligned with the United States in pushing back against Iran.More news: Fight over Jim Acosta's White House press pass seems far from over
Fighting between the Saudi-UAE coalition and Shia rebels in Yemen has flared up again around the Red Sea port city of Hodeidah, despite United Nations calls for a ceasefire there, Yemeni officials and witnesses say.
The programme was announced by Abdullah bin Abdulaziz Al-Rabi'ah, general supervisor of Saudi Arabia's King Salman Centre for Humanitarian Relief and Works, at a joint press conference in Riyadh with Reem al-Hashimy, UAE Minister of State for International Cooperation.
Emile Nakhleh, a former member of CIA's senior intelligence service, said that since the crown prince assumed power three years ago, he has turned his country into a "strongman autocracy" that can't be trusted.
The king in his speech also accused rival Iran of working to create chaos in the region.
Germany on Monday announced that it has banned 18 Saudi nationals from entering Europe's border-free Schengen zone due to their suspected connections to the killing.More news: Bitcoin extends rout after cryptocurrencies plunge 12%
The bans bind all members of the European Union's passport-free Schengen zone, suggesting Germany is willing to use its influence as the EU's largest country to push for a tougher line.