Australia rugby great John Eales will join Mr McCully at a breakfast function in Brisbane. Mr McCully will then head to a function in Canberra, where he will address several Australian MPs and leaders in the sporting community, and finally head to Sydney for a luncheon.
A strong performance in the tournament by Australia would boost interest across the Tasman, he said.
He and Prime Minister John Key have previously said a trans-Tasman final would be an ideal scenario.
The focus of ticket sales was now firmly on Australia and New Zealand, and Mr McCully said it was common for Kiwis to buy tickets in the final lead-up to games, and interest will continue to swell as the tournament begins and host cities spring to life.
Since the last update a fortnight ago, 20,000 tickets worth $4 million had been sold.
There were still 200,000 tickets worth about $60 million available.
The final, the All Blacks versus France and the South Africa-Samoa game had all sold out. The France-Canada match in Napier and the Italy-USA game in Nelson had almost sold out.
Mr McCully also announced that the Australian and England squads had each planned a day of activities in Christchurch to support the earthquake-ravaged city. Both teams were going to base themselves in the city during the tournament before the earthquakes struck.
England will spend September 7 in the city. Australia will spend September 28 there.