They are currently separately appealing the date of their extradition hearing, which is set down for September.
Appearing for Dotcom, Ron Mansfield said there was no opposition to the 2013 clones of computers and other devices being sent to the US provided they were stripped of personal and irrelevant material before leaving New Zealand shores.
The Crown opposes this as it is impracticable for New Zealand authorities to do so, and under the Mutual Assistance in Criminal Matters Act it can not recover costs from the US if it did so.
Earlier material sent to the US, known as the 2012 clones, is inaccessible to US authorities as New Zealand Police are not allowed to release the passwords for the encrypted material.
The Crown is seeking the restrictions on the police releasing the passwords be quashed.
Mansfield argued there was no evidence before the court of how hard it would be to sift through the personal material of the cloned devices, as was done for the 2012 clones already sent over.
He also opposed the release of the passwords to the US.
The justices reserved their decision.