President Emmanuel Macron has warned that France would withdraw troops from Mali if political instability there leads to greater Islamist radicalisation.
It follows a second coup in nine months in the West African nation.
Mr Macron warned of the risk of Mali "moving towards" greater Islamist influence.
France has 5,100 troops in the Sahel region which has been a front line in the war against Islamist militancy.
French troops have been supporting forces in Mali, Mauritania, Niger, Burkina Faso and Chad to battle militants in the Sahel region since 2013.
Mr Macron told Jounal du Dimanche newspaper that he had told regional leaders that France would not support countries where there was no democratic legitimacy or transition, and that France had no intention of keeping its troops in Africa forever.
For decades France has provided military support to back leaders of its former colonies in Africa, often sending troops or despatching air strikes to counter armed rebels.