However, there was still a chance he is alive.
"We've been told he has experience of building snowcaves so it's possible he's done that," the spokesman said.
"Everything is in place for immediate response if there is a break in the weather."
Professional guide and former owner of Aspiring Guides, Whitney Thurlow, also believed the climber could be alive if he was in a snowcave.
"If you dig a snowcave people can actually last a long time. The temperature warms up to about zero degrees, which isn't particularly cold compared to outside, plus the big thing is you're out of the wind.
"It's about your only option. A tent wouldn't survive up there in these conditions, it'd blow away."
Mr Thurlow said Quarterdeck Pass was a "very high narrow ramp of snow" that was "difficult to find".
He believed the poor conditions were likely to have played a part in him getting stuck on the pass.
"There's very big cliffs to the left and right of you and if you can't find it then you've got a big problem, which is the problem he's in. You wouldn't be able to find it unless you could see."
The forecast for today is heavy rain, some thunderstorms, northerly winds of 50-60 km an hour and the temperature at 1800m is between -2degC and 0degC.