Ms Armstrong said Work and Income was always open to talking to those people. She thought people were probably getting better at telling Work and Income about their travel plans, given numbers of cut benefits had decreased.
Nationwide, 31,714 New Zealanders had their benefits cut for undisclosed overseas travel last financial year, compared to 35,565 the previous year. Jobseeker support was the most cut.
Ministry of Social Development service delivery deputy chief executive Carl Crafar said welfare reforms came into effect in July 2013 to put stronger obligations on beneficiaries. They included changes to the rules around when people could be paid a benefit while overseas.
All beneficiaries were now required to tell Work and Income about their travel intentions or their benefits were stopped on departure. The rules were consistent across all benefit groups, said Mr Crafar.
He said the rules still allowed for overseas travel on compassionate or health grounds in certain cases.
To support the changes, the ministry enhanced information matching systems it had with New Zealand Customs.
If people hadn't told Work and Income about their intention to travel and an automatic information match was made, their benefit would be suspended and they would receive notification. The suspension would remain in place until they returned and contacted Work and Income, said Mr Crafar.