A man in his 60s is the latest person to die with COVID-19 in the Northern Territory, as the toll since the start of the pandemic climbs to 29.

The Darwin man suffered from underlying health conditions and died at Royal Darwin Hospital, NT Health said on Monday.

His death comes as the territory reported 235 new infections, bringing the number of active cases in the NT to 3161.

Of these, 47 are in hospital, with 14 patients requiring oxygen and three in an intensive care unit.

Meanwhile, the territory has dropped its mask mandate for indoor settings except high-risk settings, such as hospitals and aged care facilities, and in the Big Rivers and Katherine areas.

Health Minister Natasha Fyles said there would continue to be peaks and troughs in daily coronavirus infections but a sustained increase was not anticipated.

"It does feel good that we are moving forward and COVID-19 is well managed in the Territory," she said.

"But we must not take our eye off it."

The minister said she could not rule out mask mandates returning at some time in the future, should the risks posed by the pandemic escalate again.

"We don't know what's around the corner," Ms Fyles said.