After re-establishing a 16-point lead at the top of the table, the latest victory leaves City still with the potential to clinch the title at the start of next month when they host second-placed local rivals United in the Manchester derby.
Stoke didn't threaten City goalkeeper Ederson Moraes once and will resume its bid to escape relegation with a home game against Everton on Saturday. Manchester City were 23rd on 45 points, Stoke 22nd on 46, Port Vale 21st on 46 and Portsmouth one place higher with the same number of points.
Guardiola, meanwhile, has thanked Manchester City's owners for standing by him when he failed to deliver any trophies in his first season at the club.
For Manchester City, a record-setting season in the English Premier League could yet have the ideal ending.
Stoke have played to successive draws with Brighton (1-1), Leicester (1-1) and Southampton (0-0) in their last three games. "Now we focus on Stoke". Silva missed last week's Champions League game against Basel to be with his family and will fly back to Valencia while his teammates go to the United Arab Emirates.
"I think the Premier League is a wealthy league and maybe the English players prefer to stay", Guardiola added. Glen Johnson, Charlie Adam, Ryan Shawcross, Darren Fletcher and Peter Crouch brought with them a combined career total of almost 2,000 league games - the vast majority in the Premier League.
Skipper Vincent Kompany, who won the Premier League with City in 2012 and 2014, certainly understands the emotion that would be generated by winning the title by beating United.
"I think it's a good experience to move to another country and see different realities to your own". And it's probably not too much a stretch of the imagination to suggest they probably didn't concede possession either!
Gabriel Jesus has played 31 Premier League games without ever being on the losing side (W26 D5). "It is not going to be handed to us".
"When I play football I forget about everything else, it is good for me to play", Silva said after the game.
"We have one game before then which will be hard and then we will see".
The largely dominant Man City extended their lead in the 50th minute, with Silva managing to beat Bauer as he went on to score past a helpless Butland.