Repair work began on the hole this morning and very good progress was being made, Search and Rescue Mission Coordinator Mike Roberts said.
"Since the bow was raised above water level a second hole has been discovered on Sparta's bulbous bow, but this has only caused localised flooding in a small, contained space in this area. It should not affect her making safe passage.''
Araon was expected to remain alongside Sparta while repair work was done and would then escort Sparta to an ice-free area of open ocean.
Both vessels were expected to leave their current location at midnight (NZT) on Wednesday.
The weather in the area had been calm.
For safety reasons it was not possible to access the exterior damage in Sparta's current location, nor was the second hole able to be repaired, Mr Roberts said.
Sparta was expected to be brought to Lyttelton for further repairs.