Warner will be examined by the Australian medical staff after batting in the nets before a final call is made on his availability for the series.
Australia could promote Travis Head to open in Warner's place to make room for Green's inclusion along with Marsh.
Delhi defended a modest 159-7 to record their first back-to-back victories this season.
Images from the second T20 International between England and Australia, at Sophia Gardens Cricket Ground, Cardiff, Wales, on Friday.
Tanveer Sangha, the son of Indian immigrants, shot into the World Cup selection frame with a stellar, four-wicket debut for Australia.
India launched their home World Cup campaign with a six-wicket victory over Australia after Virat Kohli and KL Rahul guided them through a jittery run chase on Sunday.
'We have plenty of options here to cover the forced changes of Mitchell Starc and Mitchell Marsh, so we'll have another look at the wicket tomorrow and we'll name the team at the toss'
'But in the last few years that skill is definitely better than it was eight years ago when I started. And then as I said, the leadership, it helps me feel at home.'
As Warner's friend, want him to end on a high with Cup win: Usman Khawaja
Captain Aaron Finch will lead an equally strong batting line-up also featuring the talents of David Warner, Steve Smith, Marnus Labuschagne and Glenn Maxwell.
Sri Lanka left with regrets after squandering strong start: Pathum Nissanka
'T20 is a hard format. We are excited for what is to come.'
Mitchell Marsh is expected to lead in Cummins's absence. The all-rounder is also in contention to be named Australia's T20 skipper.
Marsh then came out to bat at number 10 and he was visibly limping. However, he was dismissed on the very first ball he faced, and as a result, SunRisers stumbled to a 10-run loss.
South Africa and India have advanced as the two other teams unbeaten in the group stage though both had their struggles in the United States leg of the tournament.
All-rounder Cameron Green thwarted New Zealand with a sparkling, unbeaten century after the hosts' seamers threatened to dominate the opening day of the first Test against Australia in Wellington on Thursday.
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Images from the celebration of the Australia's maiden T20 World Cup win.
India captain Rohit Sharma is extremely satisfied with his team's World Cup preparation and wouldn't like to read too much into the 66-run defeat at the hands of Australia in the final game of the three-match ODI series in Rajkot on Wednesday.
IMAGES from Day 1 of the fourth Ashes Test between England and Australia at Old Trafford in Manchester on Wednesday.
Virat Kohli advanced four slots to ninth position after scores of 38 and 76 in the first Test against South Africa.
All-rounder Marcus Stoinis was called up for Australia's two remaining Tests in India on the strength of his bowling and previous performances in the region, interim chief selector Trevor Hohns said on Thursday.
Delhi Capitals will need their under-performing Indian batters to deliver when they take on the mighty and versatile Gujarat Titans in the IPL match in Ahmedabad on Tuesday.
Images from the ICC Men's ODI World Cup match between Sri Lanka and Australia at the Ekana Sports City Stadium in Lucknow.
Australia at least on paper, can't be rated ahead of India and England during this edition of the tournament.
Rachin Ravindra, who reached the half century mark for the second time in his short test career and was 56 not out at stumps, will resume on day four alongside Daryl Mitchell, who was unbeaten on 12, in a partnership worth 52 runs.
IMAGES from the IPL match between SunRisers Hyderabad and Delhi Capitals, in Hyderabad, on Monday.
Images from ICC Men's ODI World Cup match played between India and Australia at the MA Chidambaram Stadium in Chennai on Sunday, October 8.
Stand-in skipper Matthew Wade has lauded the depth of Australia's T20 team and says selectors will have a headache picking a World Cup squad following the whitewash in New Zealand.
Former Australia cricketer Matthew Hayden feels that David Warner and Travis Head are the ideal duo to open for Australia at the upcoming ICC ODI World Cup which is set to begin on October 5.
Opener David Warner and all-rounder Mitch Marsh will be rested for the five-match Twenty20 International series against Sri Lanka next month to prepare for the upcoming tour of Pakistan.
Delhi Capitals skipper Rishabh Pant played his first competitive after a 15-month injury lay-off following a car crash.
Images from Day 3 of the first Test between Australia and India in Perth on Sunday.
Afghanistan registered a stunning 21-run win for their first ever victory against Australia in international cricket.
IMAGES from the IPL match played between Delhi Capitals and Punjab Kings in Navi Mumbai on Monday.
Stuart Broad picked up the final two wickets in his last appearance for England to guide the hosts to a series-levelling 49-run victory in the fifth and final Ashes Test against Australia.
David Warner has been under pressure after a poor run of form with the bat but returned after injury to the 17-man squad for the June 7 WTC final against India at The Oval and the first two Ashes Tests.
Images from the IPL match between Delhi Capitals and Kolkata Knight Riders in Visakhapatnam on Wednesday.
'He's come back and he's taken his opportunities, got himself into the squad and now he's obviously likely to bat in the top-four throughout the World Cup.'
Glenn Maxwell's breathtaking knock helped Australia clinch the three-match T20I series with a second consecutive win on Sunday
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