Warburton was ruled out of the decisive third Test last weekend with a hamstring injury and admitted he never sat easily in his seat in the stands at the ANZ Stadium until five minutes to go in the 41-16 victory that led to him lifting the trophy.
"People might have thought I might have relaxed in the 60th minute but, being the pessimist I am and knowing Australia can always strike back with a few tries in a few minutes, I could not relax until it was five minutes to go," said Warburton.
"I figured out in my head that they had to get a try every 75 seconds to win, which I would have backed our defence on that one. That's the point I started smiling and celebrating.
"It's a great feeling. This Lions tour has been a long time coming so it is nice to come back with a trophy. It has only been done a dozen times in 125 years so all the players know they are part of a very prestigious group and are very proud of that.
"It won't sink in for a long time. It feels quite surreal being part of a Lions touring party because it is only four years ago that I got capped for Wales during the last Lions tour. I never thought I would be in this situation four years later.
"Maybe in a few months' time or a few years' time I might watch back a DVD and realise what we achieved."