The reshuffle will take place after French President Emmanuel Macron returns from a visit to Armenia, Le Figaro newspaper reported, citing Elysee Palace.
"There will be [people] entering, leaving, some will change jobs within the government," the Elysee said, as quoted by the BFMTV broadcaster.
According to the Elysee, the new composition might be announced after the weekend.
French government spokesman Benjamin Griveaux stressed later in the day that the ministers who left did it for personal reasons rather than over political disagreements.
Last week, French Interior Minister Gerard Collomb resigned so that he could run for mayor of the city of Lyon.
Prime Minister Edouard Philippe took on his duties temporarily.
Collomb became the third senior member of Macron's government to resign in the last two months. Sports Minister Laura Flessel resigned in September, while Environment Minister Nicolas Hulot announced his decision to step down in August, during a live interview on the radio.