It is understood the decision is not injury-related and is instead tailored to suit Archer's Ashes build-up, as he is set to arrive in New Zealand on Saturday morning alongside fellow express quicks Mark Wood and Josh Tongue.
Neither Wood nor Tongue are in England's squad for three ODIs against the Kiwis, with Archer likely to feature in Hamilton and Wellington next week after skipping the series-opener in Mount Maunganui.
The Bay Oval is where the 30-year-old played his first overseas Test in November 2019, with England heavily criticised for over-bowling him as he sent down 42 overs in one innings on a desperately flat pitch.
Archer endured numerous injury struggles in the years that followed with stress fractures in his lower back and right elbow, but made a heartwarming comeback this summer for his first Test since February 2021.
There is no suggestion his previous experience in Mount Maunganui - where he was also racially abused by a spectator - has any bearing on keeping him on ice this weekend.
But Archer has been tipped to play a leading role in Australia this winter, so England will be wary of overburdening him as they look to end a decade-long wait to regain the urn from their oldest rivals.
Wood and Tongue could also be key to their hopes and they will travel to New Zealand to begin their preparations to face Australia, while captain Ben Stokes is set to visit family in Christchurch before England's Ashes squad assemble in Perth in the second week of November.
Joe Root, Ben Duckett and Jamie Smith will likely be in England's XI in Perth on November 21 and they linked up with the T20 squad in Auckland on Wednesday ahead of their participation in the ODI series.
Before the ODIs, Harry Brook's side will be looking to wrap up a T20 series win at Eden Park on Thursday, having taken a 1-0 lead by beating the Black Caps by 65 runs in Christchurch.
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