The left-handed opener played a key role in his team's successes last year, scoring more than 1,000 runs with five centuries. He is the only Sri Lankan to have completed 10,000 runs in the shorter version of the game.
"I have not set any targets for myself. I am going to take it match by match and try to perform to the best of my ability in each game," said the 37-year-old.
If Jayasuriya performs to his potential, bowlers are bound to have a tough time as the Sri Lankan batsman is known for destroying any attack with his breathtaking strokes.
He said he would never try to change his aggressive approach.
"That's the way I play. It's a God-given thing. I have worked very hard to stay fit, so I can play like that."
The veteran opener was dropped from the Tests in 2005 before being reinstated, but performed the following year as if inconsistency did not exist in his dictionary.
"It (the 2005) was one of the worst phases of my life. I was injured and I also lost form. I had a poor tour of India and there was a lot of flak from the media. That's is why I decided to retire," he said.
"But the new selection committee obviously had a lot more faith in my ability. I have worked very hard and stayed very focused. It was a great feeling to come back.
"Ever since I have returned, I have done reasonably well in England, New Zealand and the ICC Trophy in India. It has been a good comeback and it is a good feeling to be able to perform for the team again."
Jayasuriya was a key member of Arjuna Ranatunga's side which claimed the World Cup in 1996, redifining batting with his consistent over-the-top hitting in the initial overs with fielding restrictions.
"It (winning the Cup) is a great feeling and something that you can never forget. It's the greatest feeling for any cricketer," he said.
"Those of us who were in that team keep talking to the younger boys and telling them how it was, how we won the tournament and how we planned match by match till the very end."
Jayasuriya said the Sri Lankan side's biggest advantage was that all the players lived in one place, in the capital Colombo.
"It's a huge advantage not only in cricket, but also away from it. All of us have settled in Colombo, so there is a lot of interaction and because of that we understand each other very well," he said.
Jayasuriya said the team were comfortable in the Caribbean because there were a lot of similarities between the West Indies and Sri Lanka.
"Of course, it makes us feel very much at home -- the greenery, the sea and the climate," he said
"We are very comfortable here. As far as wickets are concerned, we don't really know. All the wickets have been relaid. Every team is in the same situation."
Sri Lanka meet first-timers Bermuda in their opening Group-B clash here on Thursday. India and Bangladesh are other sides in the group, with the top two advancing to the next Super Eight stage.