"The transport of the 13 crew to the quarantine facility will be done using standard Infection Prevention and Control (IPC) protocols, including the use of appropriate PPE.
"IPC protocols will also be adhered to for the ship while it is docked at the port."
The timing of the ship's arrival to Christchurch is dependant on things such as weather and speed but an estimated time would not be provided for security reasons.
Swabs of the crew were taken in Port Taranaki on Tuesday after reports of a flu-like illness on board.
The ship is not affiliated with the New Zealand fishing industry.
It is the second fishing vessel in New Zealand waters dealing with a Covid-19 outbreak.