"We are planning it [the meeting] for the beginning of February. I cannot give a specific date right now, it will likely be the second week. I hope that the French side will invite us," Klimkin told reporters.
On Tuesday, Russian Foreign Minister Sergei Lavrov said the meeting could be held on February 8.
Kiev authorities launched a military operation against independence militias in Ukraine’s eastern Donbas region in April 2014. The confrontation has claimed over 9,000 lives, according to UN estimates.
The Normandy Four was created in 2014 to secure a peaceful settlement to the conflict in eastern Ukraine. In February 2015, the quartet's leaders brokered the Minsk peace deal, later signed by representatives of Kiev and the militias of eastern Ukraine.
Despite the fact that the agreement was reached almost a year ago, both sides have been repeatedly reporting violations of the deal. On December 30, the Normandy four leaders agreed to extend the deadline for implementation of the Minsk agreements into 2016, without setting a new one.