England are not scheduled to play Steve Hansen's world champions until November 2018. But Twickenham chiefs are keen to deliver the game the public crave.
However, New Zealand Rugby's not giving much away about the potential clash.
In a statement NZR boss Steve Tew says "given the year we have ahead of us, adding an additional fixture against a major nation like England would be huge."
He says they "are best not to discuss options until we have firmed up our plans."
The All Blacks schedule in 2017 is already significant with the world number one side hosting the British and Irish Lions, before playing in the Rugby Championship and going on an end of year tour.
Carter won 10 out of 11 Tests against England in an era when the All Blacks fed off the mantra: 'We are the most dominant team in the history of the world.'
'I wouldn't say the All Blacks are nervous about the situation,' said Carter.
'I'd say they're excited. You want to be playing the in-form teams and England are exactly that at the moment. The All Blacks thrive on challenges so it's something the players would embrace.
'To be labelled dominant, you have to be at the top of your sport for a number of years. It's not about being at the top for a short period. I looked up to the Chicago Bulls with Michael Jordan and Roger Federer and Tiger Woods.'
England's unbeaten run stretches back to October 2015. And now Jones wants to secure a second Grand Slam, with Carter studying the fly-half contest with interest.
'England are not just winning, they're playing with style,' said Carter. 'I can see them overtaking the All Blacks' record but we worked extremely hard for it and we'd like to keep it - or share it.
'I'll be supporting the Irish! With George Ford, Owen Farrell, Johnny Sexton and Paddy Jackson, there will be four fantastic No 10s. It's going to be a bit of a Lions trial out there. There will be some tough calls for Warren Gatland.'
Carter has no doubt about who he would select as Lions No 10 - putting Farrell level with England legend Jonny Wilkinson. 'Even though he's playing at 12 for England, I'd still go with Farrell. He's really matured and he's got a real competitive edge that I love.'
- NZ Herald and Daily Mail