Prime Minister Jacinda Ardern said the Government was looking at making changes to the MIQ booking system, including notifying people when MIQ spots were being released.
She was also aware of the high threshold for allowing people to get spots on compassionate grounds, and said it was looking at what improvements could be made.
She told TVNZ she knew of people personally who were facing challenges to get an MIQ spot to come home, and said MIQ was experiencing high demand.
Kiwis living overseas have experienced months of frustration trying to secure MIQ spaces.
Ardern said 4000 people were going through MIQ every fortnight and she had been asking whether any more low-risk space available could be brought online, especially due to those in NSW now having to quarantine.