In the third test match against South Africa, Australian player Bencroft tampered the ball with the help of yellow tape.
Australian media company Fairfax claims Warner is emerging as "the central character" in the ball-tampering crisis.
The fall-out from the scandal has already been significant, with batter Smith, 28, suspended from the final Test match against South Africa and docked his match fee.
The embattled trio of Steve Smith, David Warner and Cameron Bancroft will be sent home in disgrace tomorrow as Cricket Australia came down heavily on their errant captain, his deputy and young opener for orchestrating a ball-tampering conspiracy against South Africa, sullying the image of a cricket loving nation.
But it is assumed that Warner, in his capacity as the vice-captain, is part of the leadership group, although Smith was adamant that coach Lehmann was not aware of the plan to cheat. Smith refused to name names at the time. Darren Lehmann will continue as head coach of Australia.
Furthermore, the Cricket Australia is yet to give their verdict after the investigations.
"The Cricket Australia Board has been fully updated on the issue and supports James travelling to South Africa to manage the response to the investigation now underway", Peever was quoted as saying. Engulfed in a crisis, Australia faces losing a series in South Africa for the first time in almost 50 years.
Cricket Australia chief James Sutherland said, "Fans of Cricket Australia expect cricketers to represent the country in a dignified manner and follow the established standards. This situation is extraordinarily bad for Australian cricket", he said. Bancroft was awarded three demerit points and fined 75% of match fees.
Bancroft was filmed not only rubbing the ball with the dirtied tape but also concealing the evidence down the front of his pants.
Bancroft was caught on camera using what is believed to be a tape before attempting to hide the object down the front of his trousers moments before the umpires seemingly inquired about the contents of his pockets.
The fate of Smith, Warner and Cameron Bancroft is expected to be become clear in the early hours of Wednesday morning (NZT).
In a column for Britain's Daily Mail newspaper on Monday, Hussain said the premeditated nature of the cheating was notable, adding Smith must shoulder lots of the blame.
"We actually said to our cameramen: 'Go out".
"I think there has to be the strongest action taken against this practice of sledging", Turnbull told reporters in Canberra.
Tim Paine has been named as the new Australia captain in place of Smith. "I think he will get a longer ban by Cricket Australia".
"Steve knows we're supporting him, he's our son, we're there for him no matter what".