"Sometimes I have to pinch myself that I'm playing in an era like this, “ Swann was quoted as saying in Skysports.com.
"Australia seemed almost invincible when I was growing up, and you knew it was going to be 3-0 or 4-1 when the Ashes came round.
"We had some good players in those days but as a young cricketer you never really aspired to win it. To be playing in an era in which we have won it three times in a row, I sometimes find hard to believe."
England will look to win the Ashes for the fourth time, a feat they haven’t achieved since the late 19th century. However, Swann asserted that a win mattered more than entering the record books.
"The important thing is to go out and win things and if that rewrites the record books then that's great," added Swann.
"As a team we don't play thinking about records and history. Of course you want to leave a legacy and the more you win the better that legacy will become.
"If we can win this series then we will be the red-hot favourites when the Ashes come home again."
Swann, who was the highest wicket-taker in the recent Ashes with 26 wickets, considered complacency among fans as a good sign.
"Maybe there is some complacency (among fans) but if we're expected to beat them then that's a very good sign," he said.
"We are going out there with the score at 0-0 and we are certainly not taking anything for granted but if we are going as favourites then it is much better than going there as the underdogs.
"I would rather be in a team that is expected to win than any other."
The first Ashes Test begins in Brisbane in November 21.
England off-spinner Graeme Swann has admitted that he found England’s recent success in the Ashes hard to believe. The 34-year old grew up during the time when Australia didn’t lose an Ashes series for a period of 16 years from 1989. It was in 2005 that England, led by Michael Vaughan, beat Australia in the Ashes at home. Although they were whitewashed 5-0 in the next Ashes, England came back strongly to win the next three Ashes series.