England produced a brilliant display to defeat Steve Hansen's side 19-7 in Yokohama last year, their first-ever win at the World Cup over the All Blacks.
"It's a great rivalry. And if you don't play each other for a while, it can sort of drift away," All Blacks coach Ian Foster said at last year's World Cup in Japan, when he was assistant coach to Hansen.
"Some of that is just the quirk of the calendar, but clearly we would be pretty keen to play them again sometime."
The All Blacks' home schedule remains up in the air due to the Covid-19 pandemic.
They are scheduled to hosts Wales for two tests starting July 4 followed by a test against
Scotland. The Rugby Championship, which is scheduled to begin in Auckland, also remains in doubt with restrictions to people entering the New Zealand border.