Mateusz Morawiecki's declaration came shortly after Poland's health authorities posted record infection figures of 29,978 daily new cases, breaking the previous all-time high of nearly 28,000 seen last autumn.
Over the past 24 hours, Poland also ran a record number of 95,854 Covid-19 tests.
"In the next four weeks, Poland will receive seven million doses," Morawiecki said.
"It's good news because we do not need any special knowledge to see what is happening in the vaccinated groups," Morawiecki also said, referring to decreased infection rates among medics who have already received the jabs.
In all, 5,193,835 Poles have already received jabs against Covid-19, with 1,808,008 of those having had both doses of the vaccine. (PAP)