Kompany elated after leading City to victory
Guardiola believes there is still a long way to go in the race for the Champions League places and said: "I am very happy with the way we played".
Failing to challenge for the league title or the Champions League might be grudgingly accepted in Guardiola's first campaign, but dropping out of the top four would be much harder to swallow.
"If you want to become a stronger club and stronger team you can not drop points at home".
Kevin De Bruyne (Manchester City). Then De Bruyne chipped the ball into the Southampton six-yard box where Aguero headed in at the far post as City eased to a second successive win.
One player who continues to suffer criticism, however, is goalkeeper Claudio Bravo. If you want to become a stronger club and a stronger team you can not drop points at home; because our quality is higher we can not drop points. I do not know which goalkeeper will play next Sunday because I trust a lot in both.
The Belgian defender's 55th minute header was his first goal since August 2015 and his unrestrained celebration released all the pent-up frustration of his lengthy rehabilitation from a series of injuries.
Jesus shone by scoring three goals in five appearances but broke a bone in his foot in February, paving the way for Aguero's return.
"Occasionally when you realise you CAn't lose, when you're feeling the pressure, the actual pressure as you'll be thus criticised, the players create a step forward", Guardiola said.
"I have been lucky I can make..."
Asked if he had enjoyed the effort to get back to match fitness, Kompany said: "I would have been done and dusted if I needed every single time [I returned from injury] to get back in and time to adapt". Where I am at physically does not matter.
"He has made me look more at the details, to keep the ball better, to be more aggressive in my action when I get the ball". We can see all the teams trying to play like this, and have good possession. 'Me, Stones, Otamendi. It is a cliche but we have to take things game-by-game. Of course in that moment we came back from Barcelona, had played a lot of games in that period and we were exhausted.