"Obviously they are a very good side, but they are also humans and in 100 overs people do make mistakes and we need to capitalise on them," Jayawardene said on the eve of the match.
"I think to play them you need to be competitive from the first ball itself.
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We have to make sure we play really good cricket because they come hard at you in the first hour or so, whether you bat or bowl."
Australia have been on a roll since losing a league match to Pakistan in the 1999 World Cup in England. They are unbeaten in their last 28 matches in the tournament, with 21 wins coming under Ricky Ponting's captaincy.
Australia are now on the verge of making history as they are aiming to become the first team to complete a hat-trick of titles, having emerged champions in 1999 and 2003.
Sri Lanka have already suffered defeat against Australia in a Super Eights game of the ongoing tournament, but Jayawardene said he did not believe that the opposition had any psychological advantage going into the final.