"If we continue to play the same way we've played over the last 12-18 months, I don't think they'll come close to us, to be honest."
Smith was a pivotal part of Australia's 2013-14 Ashes series win, contributing two centuries as the revitalised home side walloped their northern hemisphere counterparts in a whitewash ruled by Mitchell Johnson's 37 wickets.
The 25-year-old captain-in-waiting was in the same squad that lost 3-0 to England three months earlier.
Shane Watson was too, and the allrounder said he was hungry for a series win in England after also being a part of the losing 2009 campaign.
"We've got a very strong squad that is going over to England, we've got depth all the way through all aspects of our game," he said.
"Also the best part is everyone's in nearly career-best form at the moment, and there's a huge hunger in the group because we know we haven't won over in England for the last three series.
"I've been involved in two of those, so there's a big burning desire inside of me to be involved in an Ashes winning campaign over in England as well