The tourists were edged out 16-15 at the Etihad Stadium as the Wallabies levelled the three-game series 1-1.
The two teams will now play a deciding Test match in Sydney next weekend.
"We're going through what Australia went through last week," Warburton told Sky Sports News. "They boys will realise we've still got a Test series up for grabs.
"There's some good stuff in there. We're definitely capable of winning the Test series. It's going to be won by a whisker next week and I hope it's us."
The Lions' last series win came back in 1997 when they travelled to South Africa.