The Government hopes more quarantine spots are made available in New Zealand so more people can get back into the country.
About 250 people can come into the country each day, and there's capacity to quarantine about 3200 people at one time.
Immigration Minister Iain Lees-Galloway told Heather du Plessis-Allan the Government is trying to increase the quarantine capacity.
But he says it's the Health Minister's job to ask Ashley Bloomfield to make more room - not his.
"Up until now, the Health Ministry has been the lead on this."
Ashley Bloomfield told Heather du Plessis-Allan that they are not looking for new facilities until they know that more people are arriving in the country from overseas.
He says that he has not been specifically asked to look for new facilities.
Lees-Galloway says that he is not the lead minister on the matter so cannot ask Dr Bloomfield to do this, but says the group of ministers working alongside David Clark have tasked officials with looking for more quarantine places.
"The Government is absolutely interested in increasing the number of quarantine spots."
He says the Dr Bloomfield and Government officials know that they need to find more quarantine facilities.