City strengthened their status as favourites for the Barclays Premier League crown as they won at Hull last weekend while leaders Chelsea slipped up at Aston Villa.
Those results left City trailing the Londoners by six points with three games in hand, but they still have a number of difficult fixtures among the 11 they have remaining.
Of those, the derby against fallen champions United at Old Trafford next Tuesday is starting to loom large.
Attention will shift fully to that game after Saturday's home clash with struggling Fulham and Silva admits City's proven superiority over United this season could count for little on the night.
The Spaniard said: "First thing, we have to think of Saturday, but a derby is a derby.
"At the moment we are better but in any derby anything can happen.
"So we just have to go out and win the matches. It's a derby but the powers (in the city) don't shift in derbies.
"We have won (there) the last two years, and hopefully this will be the third one."
Silva also believes what happened to Chelsea last weekend should serve as a warning that City cannot afford any complacency in such a competitive league.
And with Liverpool and Arsenal also still in contention for the title, any slip-ups could be seized upon by rivals.
Silva said: "In this league every game is difficult and it's important to keep your focus.
"It happened to them (Chelsea) and it has happened to us - every game is difficult and anyone can beat anyone.
"This is why you have to fight all the way to the end in every single match."
Silva, 28, was speaking at the Blue Planet Aquarium in Cheshire at a promotional event for the Anfi Group, a luxury holiday company based in his home of Gran Canaria, and of which he is an ambassador.
He said: "I have special links because my mother worked for them and it's the place where I grew up.
"And it's the place I always plan to go back to. I'm extremely proud to represent this company."
Silva's immediate concern is the visit of Fulham at the weekend.
The Premier League is now City's sole objective after their recent exits from the FA Cup and Champions League.
Silva said: "These next two games are important, but we have to go match by match.
"All the matches now are like finals and we have to win them all. They are very important games for City now.
"It's a very good situation to be in, to have your destiny in your own hands.
"Also it could play against us, but overall I think to be in the position where if we win all our matches we are champions is a good place to be.
"We have to carry on now and use that to our advantage."
Silva scored a superb goal to set City on their way to a 2-0 victory with 10 men against Hull last weekend.
Given the circumstances after Vincent Kompany was sent off, and coming after damaging losses to Wigan and Barcelona, it was a strike that might have provided momentum for the run-in.
Silva said: "It was a good game for me, and it was a difficult game for us with 10 men.
"We were able to turn it around and hopefully it's the start of a good end to the season for us.
"I hope we win the Premier League. Two trophies for (manager) Manuel Pellegrini in his first year would be a good year.