The world's leading Test wicket taker is already working with Australia's top spinner Nathan Lyon as part of Australia's National Cricket Centre Spin Programme, and has agreed to become more involved.
His signing is a coup given his knowledge of the doosra delivery, which has long baffled the Australians, and with Pakistan's Saeed Ajmal among the game's most potent mystery spinners.
"I know the Australian team is a very good side, but hopefully I can have a little bit of input to help them do well in the series against Pakistan," said Muralitharan.
"Those conditions might help spinners and I know a few tricks that might help them on what to do as I have played a lot of matches in those conditions in the UAE and hopefully I can help them a little bit.
"Ajmal is a difficult customer for all the best batsmen in the world, but he bowls a little bit similar to me so perhaps if I can bowl to the Australian batsman it might help a little bit and give them some tips.
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The 42-year-old ret