Neville, whose twin brother Phil is head coach of England's women's soccer team, took the Roses to gold at the 2018 Commonwealth Games in Australia.
"My ambition to have a family is something I want to commit to after the... World Cup," the 42-year-old said in an England Netball statement.
"I will hopefully get an opportunity to lead again in the future."
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Neville has been in charge of the team for four years and the sport is booming in Britain ahead of the July 12-21 World Cup in Liverpool.
England's first match is against Uganda on July 12. Australia are the reigning champions.
(Reporting by Alan Baldwin, editing by Tony Lawrence)
