The 50th-minute strike saw City's confidence grow even greater, with Jesus shooting into the side netting and Sterling's tricky footwork seeing him nearly walk the ball into the Stoke net before flicking against Butland.
Stoke, second-bottom in the table, showed lots of endeavour but City were always in charge and Silva doubled the advantage five minutes after the break, putting a high bouncing ball past advancing keeper Jack Butland after a swift exchange with Jesus.
Sterling later pounced on a loose touch following a controversial drop-ball and raced through towards goal but Badou Ndiaye recovered to get a crucial touch just as the England winger prepared to shoot.
Pellegrino who succeeded Claude pel in June previous year managed a single win in his last 17 league games at Southampton.
"You can not deny that we're close to winning the league but you have to keep working and keep focused and as we did since the first day, game by game step by step and working hard every day every week every game you're going to get there".
There'll be bigger tests to come this season, be that domestically or in Europe, which is why City's in game management is important.
Silva's brace against Stoke was his seventh and eighth goals in the Premier League this season.
Manchester City beat Arsenal to win the Carabao Cup
"We need three wins, but we are able to do it with two (if City beat United)".
For Stoke city, the picture is bleaker, as they remain in the relegation zone and a point from safety with just eight games left of the season.
Kompany said firmly: "Let's put everything straight first, we just want to win the title".
"I think the way they play the game is terrific, the passing, the movement, you don't really see it until you get close to it, it's a very hard game to stop".
"We now have three weeks off and we travel to Abu Dhabi to train there in better weather conditions and to change our habits, stay together and come back strong".
The learning never stops with the Spanish coach, whose team now head of for a break in Abu Dhabi, with their fans looking forward to the mouthwatering prospect of clinching the league title in a match against their local rivals.
Gabriel Jesus has played 31 Premier League games without ever being on the losing side (W26 D5).
A trip to Goodison Park follows the worldwide break and three points there will give the runaway leaders the chance to secure the title by beating neighbours and nearest challengers United at the Etihad on 7 April.
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Active Euthanasia is considered the aggressive form of Euthanasia as it is directly involved with the killing. People now will be allowed to grant a living power of attorney to another.