England coach Eddie Jones won't be surprised by any of Cheika's post-Georgia game comments, the pair were teammates at Sydney club Randwick in the 1980s.
Heading into the tournament Jones had the advantage of a 6-0 win record over Australia since taking on the England coaching job after the 2015 World Cup, including a 3-0 series sweep in 2016.
Australian midfield back Samu Kerevi downplayed England's streak after the 27-8 win over Georgia on Friday.
"This is the World Cup. You can talk about all the stats and that, you saw Japan and Ireland," he told rugby.com.au.
"Anyone can talk about stats at the World Cup but we are focused on our process for this week, take our learnings from the Georgia game and go hard this week. I can't talk too much about the past. That's why it is in the past. We will just focus on the present.
"I love playing England. They're a great team," he said.
"They have been playing really well, not just in this World Cup but in the last couple of years to get to where they are at now. If it is England [they meet in the quarterfinals], we are excited for the challenge ahead.
"They have some awesome players and some awesome firepower and we're excited to get stuck into the week," he said.
Australia would have no problem adapting to the demands of playoffs rugby.
"We have had that mentality of knockout footy from the start. For us, I don't think it is about changing anything. We are sticking to our same processes. But, obviously, the buzz is just going to go up, and our level has to go up, in terms of preparation and making sure we know off those details physically and mentally," he said.
One concern the side will have is the head knock key back Kurtley Beale suffered in the Georgia game. He left the field after 14 minutes.
"I think he was more disappointed he wasn't out there with us but he was still in high spirits when I saw him this morning," Kerevi said.
"He has still got that buzz about him and beautiful smile we like to see. Obviously he will go through his protocols to return to play. I'm not sure where he is at with that. I saw him at recovery and he is feeling good. His disappointment is more that he couldn't be out there with the boys in the game. He was really buzzing about this week."
Kerevi thought the Georgia game had been perfect for Australia with a lot of forward play, especially set pieces.
He felt there were still areas they could improve but from the viewpoint of heading into the quarterfinals it had been good for them.