The All Blacks will also play the British and Irish Lions in June and July, coming up against a number of Jones' English men.
Asked by Sportsmail about plans for the All Blacks to face England, their chief executive Steve Tew said: 'We're playing England next year.
England have not played the All Blacks during their golden run under coach Eddie Jones and are not officially scheduled to meet until late next year.
The All Blacks have been approached at a preliminary stage over the possibility of facing the RBS 6 Nations champions on November 4, the date allocated for their fixture against the Barbarians.
While Read's side accounted for Italy 68-10 in Rome, they had to dig deep at the end of the tour to beat Ireland 21-9 in Dublin before scrambling to a 24-19 victory over a resurgent France in Paris. "Through a combination of world first CGI characters and unique interactive gameplay, each experience has been created to give the user unprecedented access to O2 Academy venues, The O2 and our relationship with the England Rugby team".
However, the RFU is understood to be interested in a fixture between this November, despite the fact the fixture schedule has already been finalised with England playing Argentina, Australia and Samoa in the Autumn Tests.
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 the All Blacks want to turn up to the Aviva Stadium on Saturday and want to play us after Ireland, then we'll consider it", Jones quipped.
"But there are many parts to this and many considerations to be discussed".
The win was Ireland's first over the All Blacks in 111 years, ended the All Blacks' winning streak at 18 matches and gave Read his first defeat as captain after he succeeded Richie McCaw in the wake of the 2015 Rugby World Cup triumph.
Hansen said a Test between the two sides would be colossal and claimed Jones had added desire to a talented line-up. "I hope the experience gives rugby fans and novices alike an insight in to the way we train and the amount of hard work that is involved in being an global rugby player", added Gustard.
Hansen's troops have won their past five encounters against England, the last of which came in November 2014.