"He got injured while playing basketball yesterday and he is currently undergoing a scan at a hospital. We don't know the status as of now," the Australian cricket team's media manager Matt Cenin told PTI.
Wade was in doubt ahead of the second Test as well after fracturing his cheekbone during training but he played through pain and scored a 62 in the first innings.
Brad Haddin, who played four Tests in India during the 2008 tour by the Australians, has been put on standby for Wade.