"What we have to remember is that all these guys have made a lot of runs in the past," said Jayawardene.
"Everyone takes responsibility for the failure and it is now a question of making right decisions."
World Cup runners-up Sri Lanka lost 3-2 to England in a home one-day series in October, and last month failed to qualify for the finals of a triangular tournament in Australia won by India.
Jayawardene said the batsmen had been working hard to regain form and there was no need to make major changes ahead of the upcoming tour of the West Indies.
Sri Lanka will play two Tests and three one-day internationals on the tour starting on March 17.
Sri Lanka Cricket chief Arjuna Ranatunga echoed those sentiments, saying the he was not "too much worried" about the team's performance in Australia.
"We should move on and have the team ready for the next World Cup," said Ranatunga, captain of the 1996 World Cup-winning squad.
The next World Cup will be jointly hosted by India, Pakistan, Sri Lanka and Bangladesh in 2011.