Manchester City have kept their third consecutive clean sheet since their 2-0 defeat against Tottenham Hotspur in November.
The hosts were off to a flyer when Raheem Sterling netted his first goal since mid-October after a sumptuous through pass from Kevin De Bruyne.
De Bruyne then got the Citizens’ second goal from the penalty spot on the 26th minute mark and that was enough to condemn the West Londoners to their eighth league defeat of the season.
Speaking to the media after the game, Guardiola insists it is important to get a good run of points from such fixtures.
"It's important to get a good run of points. For the chances we had, yes [we should have scored more], but it was the same in Porto. It's important that we won and that defenders don't make mistakes and we don't gift goals,” he said.
"We know the quality from Kevin [de Bruyne] in the goals and assists. He's so important for us. Just look at how he runs and fights as a modern footballer today. He is an example of this. He put all this together and every season it's massive.
"It's important to win games and clean sheets are a good fact, especially with the amount of chances we created again. The Fulham physicality was impressive. Scott Parker always has something tricky, you know, he did well against Leicester. Now everyone can beat everyone. That's why it's important for the victory and no injuries to go into the Champions League with fresh players.
"We have to wait until the end of the weekend but what's important is the feeling in the team. We will improve."
