The Clarets striker was only named as a substitute for Saturday's first leg in Wellington, which finished goalless, as he was struggling with a hamstring injury.
The 26-year-old sustained the problem during Burnley's 3-0 defeat at Manchester City three weeks ago, but careful attention from the All Whites' staff has given him a good chance of featuring from the start in the decisive second leg.
Hudson believes Wood will be fit to start in Lima with the Burnley striker said to be improving rapidly as he works his way back to full fitness.
He said: "We've planned it right, we've got past this first part, and now Woodsy's going to have a few more days under his belt.
"I don't feel any pressure - I'm going to pick the best team we have on the day, and I'm confident Woodsy's going to be in that team."