Saturday's Champions Trophy clash at Edgbaston was the first meeting between England - winners by 48 runs - and Australia of 26 that are scheduled for up to next February, including Ashes series in both countries. England have held the urn since 2009 and Botham has no doubt Alastair Cook's men will retain possession of it over the coming months.
The 57-year-old is confident England will "win in style" both at home and Down Under - and, indeed, that they could defeat Australia anywhere else, and he said: "We would beat Australia if we played them on Mars at the moment, to be honest."
He added: "England are far superior, far better. We have won the last two Ashes encounters and I expect them to win in style over here and then in style in Australia from November onwards."
Asked if he thought England would win the home series, which begins at Trent Bridge on July 10, 5-0, Botham said: "If the weather stays fair, there is every chance. A dry summer, and England, with our bowlers...why not? They could do it."
James Anderson became England's leading one-day wicket-taker on Saturday as his three for 30 took him to a total of 237 scalps. Botham feels bowling is an area in which England are particularly potent, but has stressed that, as far as he can see, they are stronger in every way than Australia.
"There is no such thing as a bad Australian team because Australia doesn't produce bad sportsmen," Botham said. "But what we have to remember is the skill and quality of England - particularly the bowling attack, which is exceptional.
"They will win it. You have every department covered.
"We have bowlers banging on the door to come in and there is also a lot of competition in the batting places. So England are in a very, very good position at the moment.
"England outgun Australia in all departments - that is why they will win."