Zelenskiy, speaking to local journalists in Kyiv, also said top Ukrainian negotiator Rustem Umerov had told him of the latest discussions that took place on Friday with US negotiators in the United States.
A new round was scheduled for Saturday, he said, focusing on Ukraine's post-war recovery.
Russian special envoy Kirill Dmitriev was also in Miami for talks with US officials.
Zelenskiy said the United States was now proposing three-sided talks - the United States, Ukraine and Russia - at the level of national security advisers.
"If such a meeting could be held now to allow for swaps of prisoners of war or if a meeting of national security advisers achieves agreement on a leaders' meeting ... I cannot be opposed. We would support such a US proposal. Let's see how things go."
At the potential meeting announced by Zelenskiy, Umerov would represent Ukraine and US Secretary of State Marco Rubio would represent US President Donald Trump's administration.
It is unclear whom Russia would send at this level as President Vladimir Putin does not have a designated security adviser.
The long-time head of the National Security Council, former intelligence chief and Putin ally Nikolai Patrushev, was transferred last year to the position of adviser for shipbuilding and maritime affairs.
Zelenskiy said on Saturday Ukraine stood for proposals that would leave the "contact line" where it was, without Ukraine having to give up territory it still controlled in the industrial region of Donbas in eastern Ukraine.
"For me, the fair version is we stand where we are now standing," he said.
"This is a matter of principle. Whatever the format and however we approach the issue, it is important for us that Ukrainian authorities retain control over that part of Donbas that we control now."
He said a US proposal to create a "free economic zone" in eastern Ukraine was a matter "to be decided by the people of Ukraine".
"We are carefully working on every point, on every step in order to achieve not a vague 'understanding' about the division of territory and resources but an agreement on stable and lasting peace and reliable security guarantees," he said.
Zelenskiy also said Ukraine and its European allies should continue to support the current US-led peace talks, a format that was worth "fighting for," while adding: "If it doesn't work out, we will all think about other options."
Zelenskiy was responding to a question about remarks by French President Emmanuel Macron suggesting that European countries would have to re-engage in direct talks with Russia if the US-led efforts founder.
Zelenskiy earlier said he would discuss the new US proposal for three-sided talks with Umerov.
Ukraine and Russia have not negotiated face to face since July but US-backed shuttle diplomacy to end the almost four-year-old war in Ukraine has intensified in recent weeks.
A Russian missile strike on port infrastructure in Odesa in southern Ukraine killed eight people and wounded 27, Ukraine's emergency service said on Saturday.
Elsewhere, Ukrainian drones hit a Russian oil rig, the military patrol ship Okhotnik and other facilities, Ukraine's General Staff said in a statement on Saturday.
It said the ship was patrolling in the Caspian Sea near an oil and gas production platform.
The extent of the damage was still being clarified, Ukraine's forces said.
with AP and DPA
