About 51,000 people are waiting for decisions on their residence.
The family desperately wants their daughter to remain with them in Nelson.
The Immigration Minister says there's now space in MIQ facilities to accommodate for some people stuck abroad.
"We had booked in our pregnancy/parenting classes, our first ultrasound and a mini trip away."
Business and backpackers are teaming up to persuade the Minister of Immigration to extend their visas through the upcoming harvest season.
The dairy farming industry is about to begin its busiest time of the year.
"This will provide some immediate relief and certainty for migrants."
She and her family flew back to Brazil after tragedy struck.
Arrivals and departures dropped from 1.2 million last April to just 38,000 this April.