He added that migrant workers who are subject to the 12-month stand-down period were going to have to leave New Zealand this year.
But, as a result of the changes, the workers will now be able to stay for the duration of the extension.
Galloway said the new rules would assist employers to make the most of the available workforce, both New Zealanders and temporary migrants onshore in New Zealand.
Meanwhile, Lees-Galloway urged employers to focus on longer-term workforce planning and recruitment and training of New Zealand jobseekers.
"These short-term changes give employers some time to get ready for a changing labour market where more New Zealanders will be looking for work."
He said the new low-skilled work visas will only be granted for six instead of 12 months.
This is because the Government's priority was to "preserve and prioritise future job opportunities for New Zealanders".
It would also give the system more flexibility to respond to labour market developments.
Lees-Galloway said the Government was continuing to work on a number of changes, which were announced pre-Covid-19.
These changes include a different way to define lower-skilled/lower-paid employment and a new process for employer-assisted work visas expected to be fully in place by mid-2021.
"With more New Zealanders looking for work, some employers will need to adjust to a new situation.
"With the short-term changes we are making, however, there is some lead-in time for employers."