The Etihad Stadium favourite believes Manchester United will not be shrugged off easily and the Citizens cannot afford a repeat of last week’s loss at Chelsea.
Roberto Mancini’s side have only lost once this season but they are still only two points ahead of their rivals and Sir Alex Ferguson’s side are battling with an injury crisis.
“We are aware that Manchester United are going to be pushing us all the way but we have to focus on ourselves,” he said in The Sun.
“You might say United have been disappointing but they are right there on our heels and you can't knock that.
“We know they are going to be right behind us so we have to make sure there are no slip-ups and try to win every game.
“We have to keep playing at the same level as we have been. To keep the gap as it is we have to keep winning our games.”
Silva was the match-winner against Arsenal on Sunday at the Etihad Stadium – a game many have been saying was the first real test of City’s title mettle.
It was an essential win for Mancini, coming soon after being eliminated from the Champions League and falling to their first league defeat of the season.
The former Valencia midfielder was vocal in his belief that this was as important a result as they have had all season.
“That was a must-win game. We needed a confidence-boosting win after the defeat at Chelsea and I think this will lift us,” he added.
After passing a tough inspection against Arsenal, Roberto Mancini’s charges will be given a very different examination when they welcome Stoke City to the Etihad Stadium on Wednesday evening.