The tourists will attempt to regain some lost pride in the three-match series, which begins in Hobart on Wednesday.
Broad is one of five players to have remained Down Under since England first landed three months ago, during which just one win has been managed in 10 games against Australia.
The 27-year-old admits the prospect of at least winning a series on tour, with the World Twenty20 also less than two months away, will drive him on.
"It would be huge," Broad told reporters. "England cricket has been through a tough three months. There is a lot of hurt players because we have not done ourselves justice on the field.
"There is a real hunger in this group to finish this tour well. Australia have had the better of us for three months and for the five guys who have been involved in all three squads it has been a really tough time for us.
"We have an opportunity in a strong team to leave this tour with a little bit of happiness. That's what we want to do."
England sit sixth in the world Twenty20 rankings, two spots above Australia.