If England beat Ireland on Saturday in Dublin, they will replace New Zealand as world record holders for the longest unbeaten Test run, which they share jointly on 18 following England's thumping of Scotland last Saturday.
The All Blacks have a hectic year including hosting the British and Irish Lions, but have been keen on a fourth match on their end of year tour north.
New Zealand Rugby boss Steve Tew has slammed the brakes on talk of a 2017 match-up between the All Blacks and England but admitted any showdown against the in-form side would be "huge".
England coach Eddie Jones has reportedly backed an approach to New Zealand Rugby to explore the possibility of a match between the world heavyweights on November 4, when the All Blacks are due to play the Barbarians. "So we do want to go out there and give it our best chance to be successful so I guess we'll just have to wait and see".
NOT scheduled to clash until late 2018, the All Blacks and England could be headed for a surprise meeting in November this year.
Premiership Rugby said on Wednesday they had yet to be consulted regarding the fixture.
Further obstacles are presented by the need to negotiate with the Aviva Premiership clubs for player release and concerns over player welfare that will accompany any decision to add the All Blacks to an autumn fixture list that already includes Australia, Argentina and Samoa.
An RFU statement echoed Tew in looking ahead to the sides' locked-in 2018 Test but was somewhat more bullish on the prospects of a tussle this year.
"If there is an opportunity for us to play NZ before then - ie this year - then we will pursue that opportunity".
"But there are many parts to this and many considerations to be discussed".
"Would we win? After we'd beaten Ireland?"
Expectation over the encounter has grown since the Wallabies were whitewashed in June and has accelerated further after an unbeaten autumn and the successful defence of the Six Nations, sealed by last Saturday's 61-21 victory over Scotland.
Hansen said a Test between the two sides would be colossal and claimed Jones had added desire to a talented line-up.
Jones replied by expressing his wariness of Hansen's approval, noting that compliments from an All Blacks coach are akin to fairytale predator the Big Bad Wolf stalking Little Red Riding Hood. We're still working on finalising our programme.