The landlocked country lifted most of its lockdown restrictions and opened its borders to travellers from European Union states and neighbouring non-EU members in June.
But Gergely Gulyas said the coronavirus task force would meet later on Thursday to discuss the rules on cross-border travel. He told a news conference that infections had been rising in Serbia, Croatia, Slovenia, Romania, Slovakia and Austria in the past two weeks.
“Wherever we have a small new coronavirus infection cluster, the infectious person brought the virus into the country from abroad,” Gulyas added.