Kevin de Bruyne struck a superb winner on 70 minutes.
Guardiola later said, "(We) Absolutely deserved it. They way we played, everything we have done, we cannot forget who we played, they are Euro champions, and how incredible a side they are. They defended well, they waited for transition to punish us and we won from one transition.
"Twelve victories in a row is incredible, so we must keep going.
"If Liverpool win their games in hand it is eight points, so my job is to take out of the heads of the players what people will say. We are more than pleased but there is a lot of a job to do."
On how good De Bruyne was, the manager added: "We have won what we have done together, and now I want to push him more, he is a world class player, he has humility, is humble. He has won three Premier Leagues and a lot of prizes, but I want more, because I know he can do it. He has everything, he missed a bit of confidence this season, he struggled a bit but he knows what he can do. His mum and dad have to be so proud of him."
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