Warner was seen grimacing as he fell down on his back while taking a catch to dismiss Rishabh Pant of the bowling of Yuvraj Singh in the 10th over of Delhi's run chase.
"I hurt myself on the rib cage," Warner said after the match.
Warner praised Kane Williamson (89) and Shikhar Dhwan (70) for their 136-run stand for the second wicket to lay the foundation for Hyderabad's total of 191 for 4 after electing to bat.
"It was an outstanding performance from the guys. Kane, first game for him this year, the way he and Shikhar played laid an outstanding platform for the guys," said Warner.
"We galvanise well together, we know what to expect. Fantastic performance from the guys with the bat and then following it up with the ball as well," he added.
Talking about his bowling unit, Warner said, "Delhi have an outstanding bowling attack with pace upfront. It was about tossing the ball to the youngster playing the first game or go to Bhuvi (Bhuvneshwar Kumar), our experienced paceman.
"We threw the ball to the youngster and he came out on top. To come out and play the way he played, and Bhuvi was world-class again. Credit to the fast bowlers."
Delhi captain Zaheer Khan said it was a great game of cricket though his sided lost it.
"180 would have been ideal to chase, but the last over I bowled is going to haunt me for a bit. Even with 190, we felt we had a good chance," he said.
"Bhuvi (Bhuvneshwar) was just fantastic, the lengths he is bowling and the rhythm he is in, he is helping Sunrisers defend."
Asked about Karun Nair's run-out which changed the scenario of the game, Zaheer said, "These things happen in the heat of the situation. But overall, the morale is good. We have been losing by small margins."
Man-of-the-match Kane Williamson said he was fortunate to play today, his first outing this season.
"Nice to get a game. The guys have been doing a fantastic job, so fortunate to get a game," said Williamson who scored a 51-ball 89 in Hyderabad's 191 for 4.
"It was a very good surface, it was important to get a good score batting first. Once again, just those partnerships throughout were important and I think the icing on the cake were the couple of boundaries that took us past 180.
"Our fielding has improved, which is something we have focused on. I just got a little niggle, probably was not going to do the team too much of a service being out with the niggle.
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