France says a four-way summit on Ukraine is "feasible" next month in the light of "progress" in the crisis.
Government spokesman Stephane Le Foll quoted President Francois Hollande as making the comments at a cabinet meeting on June 22.
Le Foll did not give any details about the progress that the president said had been made.
Hollande referred to the so-called Normandy format for the summit on Ukraine that would involve the leaders of France, Germany, Russia, and Ukraine. The previous such meeting took place in June 2014.
In Moscow, Kremlin aide Yury Ushakov expressed reservations about organizing a summit on Ukraine now, saying "the premises for valuable work of this kind have not been fulfilled."
Fighting between government forces and Russia-backed separatists has killed more than 9,300 people in eastern Ukraine since April 2014.
The February 2015 Minsk agreement calls for a cease-fire and a range of other measures to end the conflict, but violence in the region occurs almost daily.