"It's not just our problem," said Kozlovskis, commenting on whether the pace of admitting refugees is not too slow.
He also commented on whether Latvia might face problems if it suddenly has to admit a large number of people.
"We have the ability to refuse relocation if it stands in opposition to interests of national security," he said, adding that Latvia has agreed to admit only up to 30 people a month.
The minister said that accommodation has still not been found for several people, who are still living in Mucenieki.
"There are several persons with a [refugee] status in Mucenieki [asylum seeker center] who haven't been found a place to stay," said Kozlovskis. He said that Mucenieki might lack room for more refugees if they aren't found accommodation.
Kozlovskis said that the next refugees might arrive in Latvia from Greece within two weeks.
Latvia has undertaken to accept 531 asylum seekers to be relocated from Greece and Italy under the EU-wide refugee relocation scheme. The country has currently admitted 23 refugees, some of which have already been granted 'alternative' status.