The findings show that most of the respondents consider such concessions unacceptable.
Only 10% of those polled believe that some territories could be abandoned to achieve peace and maintain independence.
The majority of the population across all regions of Ukraine opposes any territorial concessions. Even in the east, which is now seeing intense hostilities, 68% of the respondents oppose concessions (only 19% are ready to make concessions), while in the south, 83% are against concessions (only 9% are ready for them).
Read also: Ukraine rejects ceding territory to Russia
Among those living in the occupied territories, 77% oppose any territorial concessions (18% are ready for concessions). At the same time, among those who have left the occupied territories after the start of a full-scale invasion, 82% oppose any concessions (only 5% back concessions).
The survey was conducted from May 13 to May 18.
Some 2,000 people were interviewed in all regions of Ukraine, except for the occupied territories of the Donbas and the Crimea.
On May 19, the NYT published an editorial titled "The war in Ukraine is getting complicated, and America isn't ready."
It states that though Russia's planning and fighting have been surprisingly sloppy, Russia remains too strong, and Mr. Putin has invested too much personal prestige in the invasion to back down.
According to the journalists, "if the conflict does lead to real negotiations, it will be Ukrainian leaders who will have to make the painful territorial decisions that any compromise will demand."
In response, Ukraine's presidential advisor Mykhailo Podolyak said that any concession to Russia today was not a path to peace, but a war postponed for several years.
Podolyak said that Ukraine would not trade its sovereignty, territories or citizens.
What is more, Ukrainian President Volodymyr Zelensky said that his French counterpart Emmanuel Macron had offered him to make concessions on Ukraine's sovereignty to save face for Russian dictator Vladimir Putin.