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The group yesterday confirmed it will perform at Adelaide Oval on March 22, sparking hopes of a possible date in Dunedin at New Zealand's only covered stadium.
Tour co-promoters Frontier Touring and AEG Live and International Entertainment Consulting said in a statement ''further Australian concerts and one in New Zealand'' would be added over the next two weeks.
The group's guitarist from 1969-74, Mick Taylor, will be a special guest.
The Rolling Stones, which comprises Mick Jagger, Keith Richards, Ronnie Wood and Charlie Watts, emerged from the 1960s to become one of the most successful groups in rock and roll history.
The group marked its 50th anniversary with its ''50 and Counting'' tour of the United States and Britain earlier this year.
After the Rolling Stones' last New Zealand concert, in April 2006, guitarist Keith Richards fell from a tree in Fiji and underwent cranial surgery in New Zealand.