City have caught up with Jose Mourinho???s side on points and are only behind the leaders on goal difference ahead of the Londoners??? Monday Night Football meeting with Stoke.
A run of eight consecutive victories, just one short of a club record, in all competitions has taken City into the last 16 of the Champions League and wiped out Chelsea???s eight-point lead to leave Silva in buoyant mood.
“Big teams have to get used to this type of pressure, and we need to replicate it until the end of the season and win as many trophies as we can,??? said Silva.
“We were eight points behind Chelsea a few weeks ago and now we have the same number of points – at least until they play on Monday – so maybe we can put a bit of pressure on them.
“But we will focus on ourselves and hope they drop some points.”
Silva scored twice in the 3-0 win over Crystal Palace at the Etihad Stadium on Saturday after playing in a more attacking position behind makeshift striker James Milner, with Sergio Aguero, Edin Dzeko and Stevan Jovetic all ruled out through injury.
Spain international Silva put City ahead with a deflected strike early in the second half and doubled the lead on the hour before Yaya Toure wrapped up the points late on.
“I like to play in the middle, even though I can play on both wings,” added Silva, who was making only his second start after eight games out with a knee injury.
“When I play in the middle I get chances to score, and that is why I scored the two goals. But I will be happy to help the team when the strikers are back.
“I am very happy for the two goals but I am really delighted because I have just come back. What I love most is to play, so I just want to continue playing.”