Australia boss Michael Cheika has endured a tough year at the helm, finishing third in the Rugby Championship and winning just one of three Tests this month.
And former South Africa coach White, who led the Springboks to Rugby World Cup glory in 2007, had made contact with RA in an apparent bid to put himself in line to take over from Cheika.
But with news of a planned call reported in the media, piling more pressure on Cheika, RA announced that it would no longer be talking to White.
"Jake White approached Rugby Australia and asked to have a conversation," said a spokesperson. "Rugby Australia did not approach him but agreed to speak with him but have decided not to proceed with the call."
RA is conducting its annual review of the Australia team, meanwhile, with the organisation acknowledging there will be added interest after a "challenging year".
"Rugby Australia is conducting a review process at the end of the Qantas Wallabies season, which is understandably attracting additional attention due to the challenging year the team has faced," chief executive Raelene Castle said.
"We acknowledge and understand the frustrations of Wallabies fans over recent results and we are completing a thorough review ahead of an important year for the team, which culminates with the Rugby World Cup in Japan.
"The review commenced within the Wallaby team environment immediately after the match against England last weekend, with players remaining in camp to complete their end-of-season reviews prior to their departure from the UK on Tuesday.
"The outcomes of the full review will be presented at the December meeting of the Rugby Australia board with Wallabies head coach Michael Cheika in attendance."
Cheika has been Wallabies coach since 2014, reaching the World Cup final and winning the Rugby Championship the following year as he was also named 2015 World Rugby Coach of the Year.