Poulsen said it is “ too early to discuss this issue” but did not entirely rule out the possibility in comments to national broadcaster DR on Monday.
“Peace negotiations have not even begun at the moment. We have to wait and see how that develops,” the defence minister said.
Debate over a potential peacekeeping force in Ukraine has gained traction following a push by the United States for peace talks with Russia.
News agency Reuters reported on Sunday that a document had been sent from the US to European allies, in which questions were raised about a possible peacekeeping force.
UK Prime Minister Keir Starmer subsequently said he was prepared to deploy troops to Ukraine.
Describing a “once-in-a-generation moment”, Starmer said he was willing to put “our own troops on the ground if necessary”.
“Any role in helping to guarantee Ukraine’s security is helping to guarantee the security of our continent, and the security of this country,” he wrote in the Daily Telegraph late on Sunday.
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Sweden is also open to participating, Foreign Minister Maria Malmer Stenergard said on a Swedish radio broadcast on Monday, as reported by TT.
Several Danish opposition parties have come out in support of Danish troops joining a peacekeeping force.
The Liberal Alliance and Social Liberal (Radikale Venstre) parties both stated that they would not rule it out, provided the right conditions are met. That included ensuring that the Danish military has the necessary capacity, the parties said.
The Alternative and Conservative parties have also indicated their willingness to contribute Danish troops, as have the Moderates, a partner in the coalition government, according to broadcaster TV2.
Prime Minister Mette Frederiksen will be among several European government leaders to attend a meeting in Paris today to address the shock US policy shift on the war in Ukraine.
US President Donald Trump sidelined Kyiv and its European backers last week by calling his Russian counterpart Vladimir Putin to talk about beginning negotiations to end the conflict.
With Trump saying he could meet Putin “very soon”, European leaders are hastening to Paris for top-level talks on the continent’s security.
Leaders from the UK, Germany, Italy, Poland, Spain, the Netherlands and Denmark are expected at the Paris meeting, news agency AFP reported.