Crowe has informed compatriot Alan Isaac, the ICC president, that he supported the letter sent by ex-ICC chief Ehsan Mani and other former top cricket administrators that the proposal should be withdrawn.
"I endorse wholeheartedly the letter by Mr Ehsan Mani to the ICC regards their position paper," Crowe said in an e-mail to Issac, according to a media report.
NZ Cricket chief executive David White and Board member Martin Snedden will attend the Dubai meeting before which the controversial 'Position Paper' is expected to be tabled later in the week.
"I understand how it's constructed and we're accepting that India is going to take a much bigger slice of the pie and we're not resisting that."
Snedden said NZC's priority this week was to lock in commitments from India and other major nations that they would tour New Zealand once in every four-year cycle as is currently locked in under the Future Tours Programme. Revenue from India tours via television rights is by far NZ Cricket's highest earner.