Jones's imminent departure comes after a disastrous World Cup campaign in which the Wallabies failed to make the quarterfinals for the first time in history.
During his second stint in charge, Australia won only two of nine Tests in 2023.
Asked on Sunday if he had resigned, Jones replied that it was "not far away", with the paperwork with Rugby Australia surrounding his release set to be signed.
RA said late on Sunday they were not in a position to comment.