Speaking on BBC Radio 4's Any Questions programme, Pollard confirmed the government had "absolutely" been working with Buckingham Palace on the plans to stop the former prince from "potentially being a heartbeat away from the throne".
He said this was "something that I hope will enjoy cross party support, but its right that that is something that only happens when the police investigation concludes".
On Friday unmarked police cars and vans were seen coming and going at Royal Lodge, the 30-room Windsor property where Andrew lived for many years.
At one point more than 20 vehicles could be seen parked at the property, although it is not known it all was connected to the investigation and searches.
Thames Valley Police, the force which arrested him, is expected to continue searching Royal Lodge until Monday, the BBC understands.
The government's proposal comes after some MPs, including the Liberal Democrats and SNP, signalled their support for such legislation.
In October, Downing Street said it had no plans to introduce a law to change the line of succession. »