The concert at the Sydney Opera House will follow a Bollywood album "You've Stolen My Heart'' that the 73-year-old Bhonsle has done with the quartet, a leading daily reported.
It was not just the group's music but also their reverence for her late husband and Bollywood music director, Rahul Dev Burman, that touched her, the daily quoted Bhonsle as saying.
"It is incredible to see the kind of respect they gave to Burman ... They wanted to know how he lived, what he ate and everything about him,'' she said.
Bhonsle is one of the most recorded singers with more than 20,000 songs in more than a dozen Indian languages.