Aguero for the third game running had started on the bench, but took his chance when City's new £27 million Brazilian starletGabriel hobbled off early in the game.
Guardiola said: ““Today we will know we will know exactly what the problem is, what the impact of the injury is. Hopefully – I will pray – it will not be a big issue.“
Pep Guardiola will be praying that Gabriel Jesus' injury isn't serious
The City manager though insisted that even despite this win, the task of catching Chelsea is massive:
“It is so difficult. They have to lose three games from now on, and we have to win a lot of matches,” he said.
“We have just got to do it game by game. We are so happy that we are in second place and that we have reduced the distance by a little bit. But still the gap is massive. We just go game by game now.”
Guardiola embraced defender John Stones on the pitch, but also found time to have words with Cherries midfielder Harry Arter who with his partner lost their baby in December 2015 but are now expecting another child.
Guardiola said: “He will be a father soon, and I just said congratulations to him and his wife because I know what happened in the past. Hopefully it's going to be well this time.”
Sterling, whose goal was his seventh in five games against Bournemouth, said: “We knew it would be difficult. They play amazing football at times and you saw that.
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"Credit to them they pushed and pushed and luckily we got the two goals. I am always trying to get on the scoresheet, it doesn't always happen.
“We know Sergio's ability and it is great to have a player like that in the squad. He is world class.
Cherries manager Eddie Howe said: “They were just better than us. Our lads gave everything, they worked incredibly hard and I cannot ask any more of them, but City were very good.”