The Spain international suffered a hamstring injury in the closing stages of City's derby win over Manchester United on Monday night.
Manager Roberto Mancini said after the game he thought it unlikely the 27-year-old would be able to play at the weekend but the player has not ruled himself out.
Silva said: "I have to have tests done [on Wednesday]. We will see the results of the tests and we will see whether I can be ready to play on Sunday or not.
"I felt it at the end and I still feeling it now. We will have to wait and see what the tests show. Hopefully I will be able to recover for Sunday.
"It would be a big blow for me. It is a game every player wants to play.
"Let's see what happens but if I can't there are always team-mates that can play."