The Rugby Football Union plans to re-arrange its fixture list to ensure that England play the All Blacks in November.
According to Sky Sports, the world's top two ranked teams could meet at Twickenham on 4 November.
England would then play Argentina, Australia and Samoa over the next three Saturdays, with the All Blacks taking on France, Scotland and Wales.
England have currently won a record-equalling 18 consecutive Tests, but have not played New Zealand in that streak.
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