Baldwin said police were not in a position to comment further as the matter was currently before the courts.
Immigration law specialist Alastair McClymont, a victim, said he had provided business credit card details on appeal forms to the tribunal.
The credit card was used for online purchases including Uber Eats, totalling about $600 - which has been reimbursed by the bank.
NZ Association of Migration and Investment (NZAMI) chair June Ranson said the association has been in discussions with Immigration New Zealand on the matter.
"We are not aware of any other cases within our membership but our members have been alerted," Ranson said.
"We are of the opinion that security precautions that are in place within the government departments must continually be reassessed with the introduction of new technology."
Ranson is calling for more stringent security screening before employment of staff by the agency.
In an email to members, NZAMI operations manager Christina Overwater said it came as a complete shock to a member who found his credit card had been fraudulently used.
"He realised that some unauthorised transactions had been made...which included beauty treatments, online purchases and an expensive holiday booked through Expedia," she said.
Overwater said the complainant was aware "another member of the immigration community" had also been affected by this fraud.
Immigration NZ said the person who has been arrested in connection with the case was not a staff member at the agency.
