The world's top two Test bowlers will go head-to-head during the Test series between Sri Lanka and South Africa
The Sri Lankan off spinner is suffering from general wear and tear, and a build up of fluid around a nerve.
"I'm sure the Australian public would love to see him here," the Australia captain said.
India's top envoy Nirupam Sen said the ace spinner is "pride and pleasure" for Indians as well.
Spinner Muttiah Muralitharan claimed a match haul of 9-140 to propel Sri Lanka to an 88-run victory in the first Test against England on Wednesday.
The Zimbabwe batsman was suspended for one Test for his comments regarding Sri Lanka off-spinner Muttiah Muralitharan.
Spinner Muttiah Muralitharan broke Shane Warne's all-time Test wickets record and Sanath Jayasuriya scored 78 in the second innings on the third day of the first Test to pave the way for Sri Lanka to edge into control against England on Monday.
The off-spinner has been advised by his Board and the ICC to not bowl his 'doosra.'
The Sri Lankan off-spinner equalled Courtney Walsh's world mark of 519 Test wickets on the first day of the first Test against Zimbabwe.
Images from the Indian Premier League match between Royal Challengers Bangalore and Kings XI Punjab on Tuesday.
Sri Lanka Board officials said match referee Chris Broad made the report after the close of the third and final Test
After being skittled out 120 in 42.2 overs, Australia had Sri Lanka reeling at 92 for 7 on the opening day of the first Test.
He reached the milestone bowling in last delivery of his 17th over on the final day of the second Test.
The tourists, out for 89 in the first Test, were bowled out for a meagre 62 in 25.2 overs in the first over after the lunch interval in the second Test.
The Sri Lankan off-spinner believes that spinners would dominate world cricket over the next few years
The off-spinner is hopeful of winning the battle against the Trinidadian on the the tour of the Caribbean.
Sri Lankan slow bowling spearhead Rangana Herath believes that Australia's limited opportunities to face quality spinners in domestic cricket will enhance his side's chances of success in next week's second Test.
Six wickets from Muttiah Muralitharan helped Sri Lanka win the second and final Test against New Zealand by 217 runs on Monday to square the series at 1-1.
Muttiah Muralitharan is keen to set the record straight in India during the Champions Trophy.
"Murali has so much cricket left in him that I have little doubt that he will reach the 700-wicket mark in Test cricket," the former Sri Lankan batsman said.
Images from Tuesday's IPL match between Royal Challengers Bangalore and Delhi Daredevils.
The two spinners were summmoned as replacements for injured ace Muralitharan.
The Sri Lanka spinner will have surgery on a career-threatening shoulder injury on Monday.
The 34-year-old off-spinner, the second most successful bowler in Test history with 635 wickets, will fly to Chennai, Tamil Nadu, to be with his young son and is not expected to return
The Sri Lanka off-spinner claimed his 528th wicket on the third day of the first Test against South Africa before the visitors closed play at 347 for 7.
The ace spinner will sit out of Sri Lanka's last Super League match against India in the Asia Cup following the death of his grandfather.
Warne has 520 career wickets, seven short of Sri Lanka off spinner Muttiah Muralitharan's world mark.
Muttiah Muralitharan said Kevin Pietersen's innings of 142 was one of the best he had seen
A matchmaking website features a purported profile of the Sri Lankan off-spinner.
The off-spinner has been named in a 16-man squad to tour Australia this month.
Statistical highlights of the Champions Trophy Group A match between New Zealand and England.
The ace off-spinner ripped through Bangladesh's first innings with figures of 5-79 on the opening day of the second Test.
Sri Lanka recovered from a batting collapse to win the Asia Cup One-Dayer against India on Friday after a super-century from Kumar Sangakkara. Here are the statistical highlights from that match played in Fatullah.
Muralitharan wants to race with Warne to the historic 500 Test wicket milestone.
Wisden, regarded as the Bible of cricket, has named Indian batting maestro Sachin Tendulkar as the leading cricketer in the world for the year 2010. The iconic batsman is the seventh recipient of the Wisden award after teammate Virender Sehwag, Australians Ricky Ponting and Shane Warne, England's Andrew Flintoff, Sri Lanka's Muttiah Muralitharan and South African Jacques Kallis.
Muttiah Muralitharan took six for 18 as Sri Lanka defeated Bangladesh by an innings and 96 runs on the third day of the first Test
Sri Lanka announced an unchanged 15-man squad for the second Test against South Africa which starts in Colombo on August 11.