Carter broke his leg during New Zealand's Bledisloe Cup victory in Sydney in August, and has not yet featured for his province this season.
But a season-ending injury to replacement Cameron McIntyre has opened up the prospect of a timely comeback for Carter.
International colleague Leon MacDonald is also in contention to play number 10 for the Red and Blacks.
But Carter, first choice for province and country, may be the preferred option for coach Aussie McLean, as he selects his penultimate XV before moving to the Hurricanes.
The 23-year-old is in confident mood, and told The Dominion Post: "I'm fit and will make myself available this weekend.
"I will obviously wait for the team selection to see where I sit there, but I'm keen to play some footy now."
Full-back Ben Blair is likely to retain the kicking responsibilities even if Carter does play.
MacDonald, though, has not given up hope of taking the shirt himself, although the versatile back has exacerbated the knee injury which sidelined him from Saturday's defeat to Otago.
He said: "It's just one of those annoying things. I could probably have played (against Otago) but we had plenty of players in cover and we had no need to be pushing things.
"The plan is it should get better every day. We still have a lot of time ahead of us and I want to be fit and ready to go for this. It's a big game for us and a big game for Auckland as well. We want to hit the ground running."