"Firstly, the methods of constant movement do not work, secondly, [they] trigger new waves of migration," Blaszczak said as broadcast by the Polish television channels.
Blaszczak stressed the necessity to "plug the holes" in the borders of the European Union.
According to the interior minister, it is necessary to provide assistance to the people attempting to escape from wars, but not to the economic migrants.
While many migrants are refugees, fleeing the conflict-torn countries of the Middle East and North Africa, some want to reach Europe in order to receive relatively high social benefits.
The European Union adopted a quota system last September that envisages the relocation of 160,000 asylum seekers across the bloc within two years.
The quota system has not been unanimously welcomed by EU members and faced criticism from several EU states primarily from the eastern part of the bloc, such as Slovakia, Poland and Hungary, who have opposed its mandatory nature.