Sky News reports the carrier has broached the subject with shareholders and other financial stakeholders as the typically quieter winter months loom.
Citing "City" sources, while a final target figure is yet to be agreed, any such move by the end of the year would require a cash injection from founder Sir Richard Branson.
Virgin Atlantic declined to comment, Sky said.
Sky additionally reports any plans Virgin Atlantic had for an IPO, initial public offering on the stock market, have been parked. It was reported in August Virgin was considering such a move.
