Had their keeper Alisson Becker not parried out Ryan Fraser's shot in the second minute, it could have been a fraught afternoon in the Anfield sunshine.
That pressure could soon be back on as City have the chance to reclaim top spot when they host Chelsea on Sunday afternoon, though Liverpool will be sunning themselves on a Spanish training camp by then.
Klopp's Bournemouth preview We're LIVE from Melwood with Jürgen Klopp...
"I know in the last five or six years what happened with the champions the year after, in which position they were", Guardiola told reporters. Something obviously changed in their view.
Poor performances in draws against Leicester and West Ham, results which allowed City to eradicate their lead, had raised questions about Liverpool's nerve as they chase a first English title since 1990.
"The amusing thing about that is I didn't read it, I didn't watch it and I still know it", he told a news conference on Friday.
"Is it interesting for me?" The visitors are a different team on the road and have lacked any real belief or threat in recent weeks so take the home team to win without conceding.
"That was the reaction we wanted to show today, for us, and the boys did that in an outstanding manner, so I'm really happy".
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As expected, criticism came rolling right along, with Los Angeles Lakers superstar LeBron James leading the way. Information from ESPN's Bobby Marks was used in this report .
"That's the world outside, and we live in that world".
That came as a surprise to many, with Sarri on Friday admitting his side were "lucky" in the win, built on strong defence and taking goalscoring opportunities, through N'Golo Kante and David Luiz.
"It's normal. It was kind of predictable", he added.
"It's obviously getting exciting now".
"The most important thing always is that your support is never taken for granted".
"I feel they play good and try to win the games, I think they'll be there till the end and we have to be there to win our games". The only tool we really have to sort our situation is football, passion, a proper fight, being aggressive in the most legal way. "Be hard, put your foot in".
The Chelsea playmaker has netted 12 times this season, which is just four shy of his best every tally for the Blues in the league. Sarri said: 'You are more competitive in the market, or you have to work. Always in life people think about what we could have done. Even if we are unable to overcome the reigning champions, at least it'll be one step closer to stopping Liverpool from winning the title... 'Now we know very well we need consistency. The 60-year-old Italian may not have the pedigree of the former Barcelona and Bayern Munich boss, but he hopes he gets similar time at Chelsea, not a club renowned for patience.
Within that accounting period were £190m worth of signings, offset by £137m of sales, but after a further £170m was spent last summer Klopp cautioned against another major spree this year.