Pat Cummins will undergo final scans later in the month to determine his participation in the World Cup, Cricket Australia said.
Australia's title bid will be tested by injuries and Asian conditions at the T20 World Cup.
Australia, despite missing key pacers, are overwhelming favorites against Ireland in their T20 World Cup opener.
Wicketkeeper Josh Inglis and spinner Adam Zampa will miss Australia's first one-day international against India in Perth on Sunday, Cricket Australia said on Tuesday.
All-rounder Max Maxwell, who has been sidelined by a wrist injury, will come in for the last three games, while Test certainty Josh Hazlewood will skip the last three games.
The left-arm spinner was the most prolific bowler in Australia's 2-0 whitewash in Galle, taking 16 wickets at an average of 17.18.
Pakistan grabbed an unassailable 2-0 lead in the three-match Twenty20 series against Australia after skipper Salman Agha led by example to secure their comprehensive 90-run victory in the second match in Lahore on Saturday.
Cricket Australia (CA), on its part, too said Kuhnemann is now free to continue playing international cricket.
Australia fast bowler Pat Cummins has been ruled out of the T20 World Cup with a back injury, with left-armer Ben Dwarshuis named as his replacement.
Opener Brian Bennett smashed a half-century and pacer Blessing Muzarabani bagged four wickets as Zimbabwe caused the biggest upset of the T20 World Cup, outclassing Australia by 23 runs.
With no ODI series in Australia in the next two years, it is impossible to think that the legendary duo will again be seen Down Under in India blues.
Australia arrive in Pakistan for three-match T20I series ahead of T20 World Cup
Sam Konstas has been added to Australia's list of contracted players in a huge vote of confidence for the two-Test opener.
Suryakumar Yadav was back in his element with some spectacular hits but inclement weather proved to be a complete dampener as the first T20 International against Australia was called off
Virat Kohli, 36, and Rohit Sharma, 38, are active internationally only in the 50-overs format but their future beyond the three-match series is uncertain.
Tournament co-hosts India will be out to defend their Twenty20 World Cup title. The 10th edition of the 20-overs global showpiece event will run from February 7 to March 8.
Tournament co-hosts India will be out to defend their Twenty20 World Cup title in familiar home conditions next month.
India will look to overcome batting inconsistencies and finish the tour of Australia with authority when the two sides clash in the fifth and final T20 International in Brisbane on Saturday.
Shubman Gill's form in the series is a concern for India as he has now gone six games without a half-century.
Mitch Owen has been rewarded for his fine form in his first five Twenty20 internationals by being named in both of Australia's squads for short-format series against South Africa in the far north of the country next month.
If Smith is ruled out, then the left-hand batter Travis Head will lead the squad as he is the vice-captain of the side.
Australia have tried and tested five openers in the format since David Warner had his last dance after last year's Caribbean World Cup. Marsh remained tight-lipped about the appearance of the rest of the batting unit but confirmed there were discussions about Tim David's place.
The Indian team's heavy reliance on all-rounders will be tested by a plucky Australia in the second ODI but the spotlight will continue to stay firmly on Virat Kohli and Rohit Sharma, both of whom would look to turn back the clock with series-saving knocks in Adelaide on Thursday.
'Kuhnemann put his hand up straight away and did a fantastic job'
Australia's stand-in captain Mitchell Marsh continued his fine run of form on Sunday, scoring 46 not out and leading his side to a seven-wicket triumph over India in the weather-affected first one-day international at Perth Stadium.
Skipper Pat Cummins, who missed the tour of Sri Lanka due to the birth of his second child in February and was also ruled out of the Champions Trophy campaign with an ankle injury, will take the reins against South Africa.
Australia will also welcome Matt Short back into the side at No.3, forming part of a refreshed middle order alongside Renshaw, Owen, Cooper Connolly, and wicketkeeper Josh Philippe, who replaces the injured Josh Inglis (calf).
Glenn Maxwell's hopes of reviving his Test career may be over after the all-rounder missed out on selection in Australia's much-changed squad for the Sri Lanka tour.
The Aussies also named a 14-player group for the first two T20I matches against India, with Nathan Ellis and Josh Inglis earning recalls after they missed the recent T20I series with South Africa.
Speaking ahead of the first Test from June 25 onwards at Barbados, Joseph said as quoted by Sydney Morning Herald, "To take 13 wickets across the series was a good feeling. A lot has changed. There were a lot of opportunities that came my way."
Who do you think should be part of the Indian team for Thursday's second ODI against Australia?
With 539 scalps in 134 matches at an average of 30.39 and best figures of 5/39, Lyon is the seventh-highest wicket-taker in Tests and has 24 five-wicket hauls and five ten-wicket hauls.
Australia's assistant coach Daniel Vettori said he does not mind the spin-friendly pitches on offer in their series in India as they have challenged the batsmen and brought their skill and perseverance into play.
India find themselves in a spot of bother against Australia in the third Test at Indore.
David Warner averages a lowly 22.16 in nine Test matches in India, managing just 399 runs with just three fifties.
Ahead of the second test of the ongoing Border-Gavaskar series, Australian skipper Pat Cummins admitted that it has been a bit of an adjustment and the spinners were struggling.
There is a saying that spinners mature after 30 and Lyon with 479 wickets from 118 Tests is a shining example of that adage.
Australia's success has been compared with some of the nation's great Test teams led by Steve Waugh and Ricky Ponting.
Australia laboured to a modest 263 all out on the opening day of the second Test against India in New Delhi
India are chasing a victory in Ahmedabad to confirm their place in the final of the World Test Championship against Australia in June.