The Australia selectors have retained the starting XI that did duty in the two-day victory from Perth, while Josh Inglis, Michael Neser and Beau Webster are also included.
Cummins, recovering from a back injury, bowled in training ahead of the Ashes opener and was hoping to play a part in Brisbane which will be a day/night encounter.
The Australia skipper will travel and train with the team and could still be added to the squad for the game that starts on 4 December.
Brendan Doggett, who claimed five wickets in Perth, will likely retain his place alongside pace bowlers Mitchell Starc and Scott Boland if Cummins misses out.
"I am going to control what I can control, keep ticking the legs over, and keep bowling and trying to improve in every session and game," Doggett said on Thursday.
"If I get called on in that second Test, I feel like I am ready to go again."
Usman Khawaja looks set to retain his place in the XI despite not opening the batting in either innings in the first Test due to back spasms.
Khawaja's injury allowed Travis Head to move to the top of the order and score an unbelievable century in the second innings.
Head's hundred has prompted calls for him to be permanent at the top of the order with Inglis and Webster middle-order options.
Australia captain Pat Cummins trained with a pink ball on Tuesday in bid to prove his fitness ahead of the second Ashes Test, which will be a day/night encounter in Brisbane.
Stand-in captain Steve Smith struggled to contain his admiration after Travis Head's blistering 123 off 83 balls sealed Australia's two-day victory in the first Ashes Test in Perth.
England captain Ben Stokes admitted his side were left "shellshocked" after Travis Head's blistering century powered Australia to an eight-wicket victory inside two days in the opening Ashes Test in Perth.
Mitchell Starc took seven wickets but Ben Stokes replied with five of his own as England and Australia slugged out a 19-wicket opening day in the first Ashes Test in Perth.
