Cricket Australia said today the squad will include the 15 players that were meant to travel to Bangladesh for an aborted two-Test series this month plus Warner, Hazlewood, Johnson and speedster Nathan Coulter-Nile.
The tour of Bangladesh was called off over security concerns.
With the Test squad members now playing for their respective state teams in the domestic one-day cup in Sydney, the two-day camp will give the Test aspirants a hit-out with the red ball.
After the losing Ashes campaign, fast bowlers Johnson and Hazlewood were rested from the Bangladesh tour and have not yet played in the interstate one-day cup.
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The uncapped Coulter-Nile suffered a hamstring injury during the one-day series against England.
Selector Mark Waugh indicated last week that the anticipated returns of Warner, Johnson and Hazlewood for the New Zealand series would squeeze out some players selected for the Bangladesh tour.
"The squad from Bangladesh, it's going to look different for New Zealand. There is no doubt about it," Waugh said.
"There's going to be some guys picked for that tour who are probably going to get shuffled back down the order a little bit, but you can't do anything about it."
The camp will involve centre wicket and net practice across both days, Cricket Australia said.
The first Test against the Black Caps is at Brisbane's Gabba from November 5.
Australia - Steve Smith, David Warner, Cameron Bancroft, Joe Burns, Nathan Coulter-Nile, James Faulkner, Andrew Fekete, Josh Hazlewood, Mitchell Johnson, Usman Khawaja, Nathan Lyon, Mitchell Marsh, Shaun Marsh, Glenn Maxwell, Peter Nevill, Steve O'Keefe, Peter Siddle, Mitchell Starc, Adam Voges.