"On the basis of all the material I have been presented with, I am satisfied that there is now a safe plan for re-entry and recovery," he said.
He has described the plan as an "extraordinarily complex undertaking".
"This is a site which, even eight years after being the scene of multiple explosions and taking the lives of 29 men, poses major hazards. This has required incredibly robust planning," Little said.
The agency had recommended re-entering the drift via the existing entry. Cabinet has approved an additional $14 million in funding, taking the total budget for the plan to $36m.
Pike River Recovery Agency head Dave Gawn said there was still a lot of work ahead.
"Safety comes first, then operations, but we are confident we can recover the drift and get this operation completed."
Police are still in the process of completing their own risk assessment of the re-entry plan before committing staff to take part.