Ben Dare (29), from Queenstown, said in a message to supporters Scott Scheele (24) was receiving ''top rate'' care at Vayodha Hospital in Kathmandu.
''He has been moved from the ICU to a private ward, and if his condition continues to strengthen, hopefully, he will be discharged early next week and we will be able to get him on a flight back to New Zealand,'' Mr Dare said.
The message was posted on the climbers' website days after the pair were involved in an accident while trying to reach the top of the unclimbed Anidesha Chuli, or White Wave (6800m), in the Himalayas.
The pair were 400m from the summit when Mr Scheele fell 90m, receiving a head injury and concussion, and had to be helped down to a camp at 6000m by Mr Dare.
The two other members of their group, Rob Frost (30) and Andre van Dusschoten (37), trekked through the night from a lower camp, at 4800m, to reach the pair's tent and assist.
Mr Scheele was eventually plucked from the mountain - accompanied by Mr Dare - by a private helicopter operated by Fishtail Air, who, Mr Dare said, ''did an amazing job''.
He also thanked supporters and well-wishers for their messages to the team, saying they were ''greatly appreciated''.
The pair's climbing companions had remained on the mountain while ferrying the group's equipment down, but contacted friends and family yesterday to confirm they were back at base camp.
