Pujara was dismissed for just 16 during India's only innings in the first Test against West Indies at Antigua.
"No I am not worried. Overall I have been batting well. Even in the South Africa series, there have been good scores and some good batting on challenging wickets. So at times you have to be realistic and see the contribution without seeing whether I am getting hundreds or big double hundreds. It's always about contributing to the team's success," Pujara told reporters here.
"Things though remain very simple. I always have to contribute and play with responsibility. I have spoken with Anil Kumble too, and he told me a few things about my batting. Most importantly, he told me he was happy with the contributions I have made in the past and is positive about the way I am currently batting," he said.
Elaborating the team's goal, Pujara said India are gunning for a series whitewash here in its quest for becoming the numero uno Test side in the future.
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Asked if India will adopt a new strategy in the upcoming Test considering the change in conditions, Pujara replied, "I don't think so. If we see the first Test there was good pace and bounce from the wicket, and we did well. We just need to continue doing what we have been doing well and there have been many partnerships from the last game.
"In particular R Ashwin batted well and Amit Mishra did well too, so both the top-order and lower-order are doing well, which is a positive sign from the team."
Having not played here before, Pujara refused to predict the nature of the Kingston wicket.
"Overall as a team, we have been playing good cricket and that is what we will look to do. We won't worry too much about the wicket and I think if we play to our potential there is a good chance of winning the series."
West Indies has roped in 19-year-old pacer Alzarri Joseph in their squad for this second Test. The youngster was the joint third-highest wicket-taker during the Under-19 World Cup in Bangladesh earlier this year, picking up 13 wickets there.