Meanwhile, 20 percent are in favour of allowing people to enter the country, according to the study by pollster Opinia24 for broadcaster RMF FM.
The remaining 5 percent of respondents were undecided, Polish state news agency PAP reported.
Support for admitting migrants was highest among those aged 60 and above, it said.
The survey was carried out from February 10 to 13 on a representative random sample of 1,002 Polish adults.
Human Rights Watch (HRW) on Wednesday urged Polish lawmakers to reject a bill that would allow the government to temporarily suspend the right to asylum at Poland's border with Belarus.
Polish Prime Minister Donald Tusk this month reiterated his opposition to the European Union's migration pact, saying that his government would not implement any provisions requiring it to accept migrants identified in other European countries.
European Union leaders in October expressed solidarity with Poland over migration challenges, saying that Russia and its ally Belarus cannot be allowed to exploit European values, including the right to asylum.
Tusk told reporters at the time that "more European leaders have come to realise that current approaches, including the migration package, are not the right response to the threat posed by mass illegal migration."
Tusk said in April last year that Poland would not agree to the EU's relocation mechanism for migrants, despite its approval by the European Parliament.
Poland and the EU have accused Belarus and Russia of deliberately sending migrants from the Middle East and Africa to the Polish border.
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Source: PAP