"We just kept losing wicket and that cost us dear. Just when we thought we could accelerate, we lost Ajinkya Rahane, we lost (Stuart) Binny and then I got out myself. We lost wickets at crucial times and we could not kicked off for a bigger total," Dravid said after the match.
The Royals were going strong at 81 for one in the 12th over before being reduced to 106 for five in the 16th over to end their innings at 145 for five.
Dravid conceded that the Warriors have some big hitters in their ranks and little could be done if they come off firing.
"They have plenty of power-hitters in the team, Finch, Robin Uthappa, Ross Taylor and Yuvraj Singh, and if they come off, it is difficult for us to do anything. Some day, some of them would have to come off firing and they did today and there's little we could have done," he added.
"We need to look to keep improving, look to forget this match and kick on. We can do that and it's early days in the tournament and we have the side to come back," he said.