"I would be very surprised if anyone would buy the trustee side of the business," he said.
Lim said the trustee business faced brand issues in the wake of the FMA action and there could be future legal liability attached to it.
Bidders for the Perpetual business are believed to include the management of Perpetual headed by chief executive Patrick Middleton.
Yesterday there was also speculation that AMP-owned Spicers Wealth Management could be a potential buyer for the wealth management part of Perpetual.
But an AMP spokesman has said there was no truth in the rumour.
Lim said it was difficult to know how much Perpetual would be worth.
Meanwhile, Perpetual has applied for a licence from the FMA to continue operating as trustee for two KiwiSaver schemes.
Perpetual is trustee for Auckland-based NZ Funds KiwiSaver scheme and Iwi Investor, a KiwiSaver scheme run out of Taupo.
Trustees are presently going through a new licensing regime. All trustees were issued temporary licences under a provisional system and the FMA has until the end of September to grant full licences.