Doc Wakatipu announced there might be an option for trampers to fly across the hazardous area during the closure so they can complete the entire track.
Senior service ranger Richard Kennett said the viability of helicopter flights would be assessed on a daily basis and was dependent on snow and weather conditions.
If the flights were not running, trampers would have to exit the track at the same point they entered, Mr Kennett said.
''The unsettled spring weather means snow has fallen on the tops resulting in high avalanche danger.
''The department has avalanche technicians monitoring the changing situation on a daily basis to ensure we have the most up-to-date information available.''
Trampers who wish to visit the Routeburn need to contact the Doc visitor centres in either Queenstown or Te Anau, open daily, for the latest updates.
If operating, helicopter flights need to be booked in advance and cost $92.
Trampers should be aware helicopters flights are still dependent on suitable weather conditions and cannot be guaranteed.
Mr Kennett said the section of the Routeburn would be reopened as soon as conditions improved.
The popular 32km world-renowned tramping track is one of New Zealand's nine Great Walks. Queenstown-based Ultimate Hikes set off on its first guided walks on the Routeburn and Milford tracks last Friday.
This year marks the 125th anniversary of the discovery of the Mackinnon Pass, the highest point on the Milford Track, allowing land access from Te Anau to Milford Sound.
Another highlight of the season is the expected re-opening of the Sutherland Falls Track, which leads to the 580m Sutherland Falls, believed to be the tallest waterfall in New Zealand.