Spokesman Piotr Müller said that the pace at which vaccinations are carried out depends on how quickly shots are delivered to Poland.
The country expects to receive 60 million doses by the end of the year, public broadcaster Polish Radio's IAR news agency reported.
The European Union, of which Poland is part, has struck deals to secure vaccines from Pfizer-BioNTech, AstraZeneca, Moderna, CureVac, Sanofi-GSK, and Johnson & Johnson, taking its potential stock of COVID-19 shots to around 2.3 billion, according to European Commission head Ursula von der Leyen.
The first delivery of some 29,000 Moderna vaccines was set to arrive in Poland on Tuesday.
The European Medicines Agency on January 6 gave the green light to Moderna's COVID-19 vaccine, the second shot it has approved as countries step up inoculation efforts amid fears of more contagious strains of the coronavirus.
Poland has so far received 1,051,830 doses of the Pfizer-BioNTech vaccine, the IAR news agency reported.
Prime Minister Mateusz Morawiecki announced last month that his government had secured vaccines for the Polish population from six leading international drug makers.
Poland plans to spend PLN 3 billion (EUR 675 million, USD 820 million) on over 60 million doses of coronavirus vaccines under a national inoculation programme adopted by the government.