Burns was tipped as a potential call-up to Australia's Ashes squad earlier this year but he struggled to impose himself at Grace Road, scoring just 214 runs in the LV= County Championship at an average of 30.57.
The Queenslander was not helped by niggling injuries and he will now head back to Australia to regain full fitness.
Leicestershire chief executive Mike Siddall said: "Joe has been affected by a shin injury and then a slight hip problem during his time with us. He is returning home for recuperation and treatment."
- Sports & Recreation