Cummins has withdrawn himself from the three-T20Is that follow the ongoing five-match ODI series, and will be heading home to freshen up for the Ashes starting November.
Cummins to miss T20I series against India
Tye will join fellow quicks Nathan Coulter-Nile, Kane Richardson and uncapped left-armer Jason Behrendorff in the squad.
The 30 year old, who has been out of action since dislocating his shoulder during the Indian Premier League (IPL) in April, played the last of his five international T20s in February.
Australian Lyon devours Bangladesh Tigers
The tourists, who have already conceded the ODI series after losing the first three matches, will look for a better result in the T20 games starting October 7 in Ranchi.
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