US President Donald Trump has been pushing for a halt to the war and has pressured Ukraine to accept peace terms that Kyiv has likened to capitulation to Russia.
Key sticking points remain between Kyiv and Washington, and Ukraine has been seeking clarity from allies about what security guarantees it will receive as part of the plan, which it believes are vital to deter Russia from invading again.
Zelensky told reporters, including
AFP, that Ukrainian negotiators were on their way to the United States for more talks.
The Ukrainians were due to hold talks on security guarantees and post-war reconstruction with the US side in Miami on Saturday, Kyiv's embassy to Washington said. "The goal of the visit is to finalise these agreements with our American partners," according to ambassador Olga Stefanishyna.
Zelensky hopes to sign the documents with the Americans at the World Economic Forum in Davos next week. "If everything is finalised and if there is agreement from the American side -- because on our side, in principle, I believe we're done -- then signing during Davos will be possible," he said.
The president spoke as Russian strikes have left thousands without heating in Kyiv for days in temperatures as low as -15C. The capital's mayor Vitaliy Klitschko ordered schools to be shut until February for the "safety of children".