Pace spearhead Bumrah was ruled out of the tournament due to a back injury in a huge blow to India, who also lost all-rounder Ravindra Jadeja to a knee injury that required surgery last month.
"Shami has reached Australia and will link up with the squad in Brisbane ahead of the warm-up matches," the BCCI said in a statement.
"Mohammed Siraj and Shardul Thakur (both fast bowlers) have been named as backups and will travel to Australia shortly."
The T20 World Cup kicks off on Sunday with the group qualifying stage. India begin their campaign on October 23rd against arch-rivals Pakistan in Melbourne.
India squad: Rohit Sharma (captain), KL Rahul, Virat Kohli, Suryakumar Yadav, Deepak Hooda, Rishabh Pant, Dinesh Karthik, Hardik Pandya, Ravichandran Ashwin, Yuzvendra Chahal, Axar Patel, Bhuvneshwar Kumar, Harshal Patel, Arshdeep Singh, Mohammed Shami
