The Green Party wants the Government Communications Security Bureau bill to be subject to a conscience vote.
The legislation would allow the bureau to spy on New Zealanders and store their information indefinitely.
Greens intelligence spokesperson, Steffan Browning said Members of Parliament should not have to toe the party line on a matter affecting everyone's privacy.
He said personal privacy is not a political issue. He believes a number of MPs would cross the floor if they were allowed to vote according to their conscience.