The 23-year-old Tait, who impressed for the Prime Minister's XI and South Australia in warm-up games against the tourists, will return for duty with his state side in Adelaide.
Australia, who will name their starting XI shortly before the toss at the Gabba, are now set to opt for either the uncapped Mitchell Johnson or Stuart Clark for the final bowler's berth.
Batsman Michael Clarke was added to the squad yesterday after all-rounder Shane Watson was ruled out of the opening Test with a hamstring injury.
England is yet to finalise its side and will check on the fitness of batsman Ian Bell, who was hit on the left wrist in nets practice Tuesday.
The tourists must also decide between left-arm spinners Ashley Giles and Monty Panesar.