The three-time Great Race winner will cut laps this Thursday afternoon, after the car is officially unveiled in pit lane earlier in the day at 12:30.
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“My team and I have been racing Fords for more than 40 years,” said Johnson.
“We are very proud representatives of and ambassadors for the Blue Oval.
“We have been working extremely hard on making this car the best it can possibly be over the last couple of years, and to be the first person in the world to drive it after all of that work is fantastic.
“Any chance to drive around Mount Panorama is incredible, but to do it in Ford's latest race car is an opportunity I simply couldn't pass up.
“I can't wait to drive the Mustang and see the fans across the top of the Mountain, it's going to be very special indeed.”
The Gen3 Mustang and Chevrolet Camaro prototypes were unveiled to the world in a pit garage at last year's Bathurst 1000, although the former was in the S550 shape corresponding to the current road-going version.
The seventh-generation Mustang's global launch took place last month, although only renders of the Supercar version have been released thus far.
Both the unveiling of that car and Johnson's first laps will be aired live on Fox Sports.