Ben McDermott, Dan Christian, Cameron Green, Ashton Turner, Wes Agar and Nathan Ellis are called into the 29-strong group for the eight-match tour
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Australia have called up six more players into their preliminary squad for the white-ball tour of the West Indies and Bangladesh.
Uncapped pair Wes Agar and Nathan Ellis are the stand-out additions to the now 29-strong group.
Cameron Green, who made his Test and one-day international debuts last summer, is included.
Dan Christian returns despite not having played international cricket for seven years while there are recalls for Ben McDermott and Ashton Turner.
Call-ups for Christian and McDermott means they will not feature for their respective counties Nottinghamshire or Derbyshire in the upcoming T20 Blast.
The pair will fly home to Australia for a mandatory two-week quarantine period before a reduced squad departs for the Caribbean on June 28.
Cricket Australia are anticipating a spate of withdrawals from the squad due to the ongoing pressures caused by the Covid-19 pandemic, hence the new additions. Daniel Sams has already pulled out citing mental health concerns.
Australia squad: Aaron Finch (c), Ashton Agar, Wes Agar, Jason Behrendorff, Alex Carey, Dan Christian, Pat Cummins, Nathan Ellis, Cameron Green, Josh Hazlewood, Moises Henriques, Mitchell Marsh, Glenn Maxwell, Ben McDermott, Riley Meredith, Josh Philippe, Jhye Richardson, Kane Richardson, Tanveer Sangha, D'Arcy Short, Steven Smith, Mitchell Starc, Marcus Stoinis, Mitchell Swepson, Ashton Turner, Andrew Tye, Matthew Wade, David Warner, Adam Zampa