Botham appeared in two finals during his playing days, but England are yet to win an ICC 50-over competition.
However, he feels that the drought could be set to end this weekend if the batsmen perform as they did against South Africa.
He added: "This might be the time if England perform as they have today and continue that form.
"They've always been pretty good in the field - and I thought Jos Buttler did extremely well behind the stumps - and if you get the bowlers performing, which they do 99 times out of 100 as the most reliable part of this English machine.
"It was important that some of the batsmen got runs today and they did. I thought Trott played magnificently, Joe Root doesn't stop impressing me and it was very important that Eoin Morgan got some runs, just to feel the ball on the bat. I think that's quite essential for the way he plays.
"I actually think England can win this."
