Manchester City are now 12 points clear of Manchester United and moved two points ahead of Liverpool at the top.
The former England defender feels Chelsea, Liverpool and Arsenal will finish in the top four.
In his 52nd appearance for Manchester City, Kyle Walker netted for the first time in spectacular style by driving a low shot in the corner from 25 yards.
Silva, 32, won the 2010 World Cup and 2008 and 2012 European Championship titles and played 125 times for Spain after making his debut in 2006.
Mateo was born extremely premature in December last year and David Silva missed four games over the busy festive period as a result.
It took just nine minutes for Manchester City to carve open a Stoke side that is looking increasingly certain to suffer relegation this season.
Beleaguered Arsenal manager Arsene Wenger called on his players to show they can meet the club's standards after a second humbling 3-0 defeat at the hands of Manchester City in five days on Thursday.
Manchester City won the first trophy of the Pep Guardiola era on Sunday, thumping a disappointing Arsenal 3-0 in the League Cup final at Wembley.
The 31-year-old -- who returned to the runaway Premier League leaders starting line-up for Tuesday's 3-1 win over Watford after missing four matches.
City have drawn level with Chelsea in 2016-17 and Arsenal in 2001-02 for the most consecutive victories in a single season in Premier League history.
David Silva joined City from Valencia and has contributed to two Premier League title wins, two League Cup triumphs and one FA Cup success during his time at the Etihad Stadium.
Machester City went past Leicester City 2-1 as Swansea beat Sunderland 2-0 to boost their survival bid while Southampton ended their barren run against Middlesbrough on Saturday.
Spain's new coach Julien Lopetegui enjoyed a perfect competitive debut as Diego Costa, David Silva and Alvaro Morata all hit doubles in an 8-0 drubbing of Liechtenstein in Leon
Cristiano Ronaldo missed Real Madrid's 0-0 draw against Manchester City in the Champions League semifinal first leg due to a thigh injury, but took a full part in training on Monday and Tuesday
Manchester City F.C. hopes that Pep Guardiola will carry far more impact than his predecessor Manuel Pellegrini.
Raheem Sterling said that Sergio Aguero was a world class player while David Silva had a lot of experience having won a World Cup.
While Vincent Kompany is suffering from a calf injury, David Silva has been out for six weeks due to an ankle injury.
David Silva struck on the stroke of half-time at the Borisov Arena in Barysaw to give Spain a fifth win in six qualifiers in Group C.