Meanwhile, 4 percent oppose admitting people fleeing Russia's war against Poland's eastern neighbour, according to the study by pollster CBOS.
The survey was carried out from March 28 to April 7 on a representative random sample of 1,030 respondents.
A separate study published this week found that 66 percent of Poles were providing support to Ukraine and its people amid the Russian invasion, according to pollster IBRIS.
More than 5 million people have fled Ukraine since Russia invaded the country on February 24, according to the United Nations refugee agency UNHCR.
Poland has taken in 3.03 million refugees fleeing Russia's invasion of Ukraine, the Polish Border Guard agency reported on Friday.