The firm said it would seek advice on the best timing and structure to "return Virgin Australia to the ASX".
Bain bought Virgin Australia for A$3.5 billion in 2020 after the airline was placed in voluntary administration. Creditors approved the buyout in September 2020.
A listing of the airline could be one of the largest IPOs in Australia in 2023 after capital markets activity plunged in 2022 as a result of global financial market uncertainty.
"In the coming months we will consider how to best position Virgin Australia for continued growth and long term prosperity," Mike Murphy, a Bain Capital Sydney based partner, said in the statement.
(Reporting by Scott Murdoch in Sydney Harish Sridharan in Bengaluru; Editing by Kim Coghill and Tom Hogue)
By Scott Murdoch