Guardiola's side are now two wins away from lifting an unprecedented fourth successive English title after a commanding display at Craven Cottage.
"The great players enjoy playing with great pressure," he said.
"These players in the last few years have been able to do it and we are again in the latter stages.
"Our dream is as we said a few weeks ago was to arrive in the last games with it in our hands, with the destiny belonging to us.
"We did a really good job today.
We played really well and now we recover, go back to Manchester, then come back to London to play the 'final' against Spurs." Croat Gvardiol put City ahead early on before Phil Foden's 25th goal in all competitions this season increased their lead.
By the time Gvardiol netted his second, City were strolling to three priceless points. Julian Alvarez then underlined City's superiority with a late penalty after Issa Diop was sent off for fouling him.
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