Kevin de Bruyne, Oleksandr Zinchenko, Phil Foden, Kyle Walker and Riyad Mahrez were also on target against Nigel Clough's League One side as City ensured their visit to the Pirelli Stadium on January 23 is a mere formality.
"We are considering it, we are talking about that", Guardiola said of a possible new deal. "He said: 'Come in for a glass of wine.' I hope he's got more than a glass", said the visiting manager, who insists his side will use the return leg in a fortnight to celebrate reaching the last four.
It was the biggest-ever margin of victory in an English cup semi-final and City's biggest win since 1987.
Burton's Clough believes stopping Guardiola's City, particularly when they travel to the Etihad on Wednesday, is a tough task.
Burton Albion and Manchester City are like "chalk and cheese", Brewers chairman Ben Robinson has insisted ahead of Wednesday's EFL Cup semi-finals.
"Do I wish we hadn't played?" After the second and third goal, it was easier, we were faster and quicker.
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"We expected that level of quality from the players they had out there".
The modern day Abu-Dhabi backed City are still in the hunt for four competitions as after closing the gap on Liverpool to four points at the top of the Premier League table, they thrashed Rotherham 7-0 on Sunday despite naming a much-changed side. "To score is best way to respect competition and the opponents".
Asked was he daring to dream, he admitted to Sky Sports: "In reality, no, because we would struggle to beat their third team", he added. It's good for us because we can play the second team and players who don't play regularly. "You can not be 'oh, it's Burton" and we did not - that is why I'm pleased. The Burton boss has said that the two-legged nature of the tie makes the meeting all the more daunting for his side, but he is keen to stress that they are looking to just enjoy it.
"It's the first time I've played in a win like this", he told reporters.
Liverpool legend Jamie Carragher responded to a dig from a City supporter by tweeting: "You can't fill your Stadium!"
City were not finished and Mahrez poked home a Bernardo Silva cross seven minutes from time, but they fell just short of double figures.