Buttler sustained the injury in practice on Friday ahead of the series decider at Chester-le-Street in Durham.
"Jonny Bairstow has been added to the squad as cover for Jos Buttler who has split the skin at the base of his thumb on his left hand," England Cricket said on Twitter.
England and New Zealand are currently tied 2-2 in the ODI series, with a one-off Twenty20 match to come on June 23.
(Reporting By Michael Hann; editing by Toby Davis)
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