Two months after the chopper scandal that led to Bronwyn Bishop's resignation as speaker, the Department of Finance has not sought an investigation by the Australian Federal Police.

In a letter to Labor MP Pat Conroy, the AFP said it would not be investigating allegations that Ms Bishop had provided misleading information when she claimed a charter flight to a Liberal Party fundraiser was "official business".

Labor had referred that matter to the AFP, along with a request it investigate whether Ms Bishop's relationship with individuals at the company MyJet led her to hire the company for the $5227 charter flight.