Fighting between Ukrainian troops and Russia-backed separatists in the region has killed more than 10,000 people since 2014. A 2015 peace deal brokered by Germany and France helped reduce the scale of fighting, but regular clashes have continued.
The separatists have opposed Ukraine's suggestion to deploy peacekeepers in the war zone.
Putin told reporters today that peacekeepers could help ensure safety for international observers who are monitoring the cease-fire.
Ukraine's envoy to the United Nations, Volodymyr Yelchenko, said in comments carried by Russia news agencies today that Kiev is ready to work on the draft resolution.