The Citizens are yet to win a Champions League trophy and since the arrival of the Spanish trainer, his works have always been judged on Champions League results despite dominating domestically.
And replying to the comments, the former Bayern Munich tactician has insisted he will not be carried away by Champions League glory at the Etihad Stadium should Manchester City earn European success.
"It's important, I know it's important but if it doesn't happen it will be important too," Guardiola said.
"I'll be the same guy, wake up in the morning, work a lot, go to sleep as early as possible, eat good and take care of myself as much as possible, love the people I love.
"It's not going to change my life.
"I'm going to do my best but when I say thank you to everybody for my time here it's not going to change my opinion about this title or no title.
"The day I arrived [at City] in the first season, people say you have to win the Champions League because Manuel and [Roberto] Mancini won the Premier League.
"They say you have to. Okay, I have to try. I know the reason why we'll be judged.
"There are incredible teams in Europe, as strong as we are," he said.
"One inch, one decision, one bad performance, one mistake and you're out. We spoke many times about that.
"We're going to try. Of course we want to win it. We dream of it, we work for it, but the same as we work for the Premier League again."
City, who suffered an agonising quarter-final loss to Tottenham Hotspurs in the continent's top tournament last season will look to transcend their best Champions League result when they reached semi-final in 2015/16 under Manuel Pellegrini.
Pep Guardiola’s side have been pitted in Group C where they will face Shakhtar Donetsk, Dinamo Zagreb and Atalanta.
