The team management had earlier decided to rest Cummins for the T20 series ahead of the upcoming Ashes. Cummins has played all three matches in the ODI series so far.
Tye, a T20 specialist, has played five matches for Australia and last represented the country in February.
Cricket.com.au reported that Tye has replaced Cummins for the series beginning in Ranchi on October 7.
The second and third game will be played in Guwahati and Hyderabad on October 10 and 13 respectively.
Playing for Gujarat Lions this IPL, Tye enjoyed success, including a match-winning hat-trick against Pune, until he suffered the shoulder injury.