Cummins is yet to fully recover from a persistent back problem and will miss the event, which begins on February 7 in India and Sri Lanka.
The finalised 15-member squad also sees top-order batter Matthew Short dropped from the original lineup. Left-arm pacer Ben Dwarshuis and batter Matthew Renshaw have been named as replacements.
Selector Tony Dodemaide expressed confidence that both players are capable of making strong contributions during the tournament.
Australia squad:
Mitchell Marsh (c), Xavier Bartlett, Cooper Connolly, Tim David, Ben Dwarshuis, Cameron Green, Nathan Ellis, Josh Hazlewood, Travis Head, Josh Inglis, Matthew Kuhnemann, Glenn Maxwell, Matthew Renshaw, Marcus Stoinis, Adam Zampa
