Stones told The Times: "Oh no. Can't be letting that happen!
"Arsenal, Liverpool, the teams that have been pushing us and us pushing them for the trophies, it's working in our favour. We've got to be better. It's healthy competition.
"It's hunger. Do everything, have no regrets. Look, at the end of my career, which is hopefully a long time away, I want to look back and see all the things that I've got that I never thought I would have as a kid.
"Winning trophies sets something off inside you. That feeling! You want it again. It's hunger and desire. That doesn't go. Look back over six, seven seasons now and we've always been there fighting for the Premier League, always been there in the FA Cup, the semis, finals, in recent years Champions League, Carabao (Cup) four on the bounce.
"Something that goes so under the radar is how difficult that is to maintain over a sustained period. That's something I'm proud of. This hunger."