Chelsea are still to fully diagnose the severity of the injury, but manager Tuchel believes he is unlikely to be ready for the weekend.
He said: “It will be very tight for Sunday. It is only in two days, but it is hard to give a diagnosis because I saw him only very quickly in the dressing room with a big strap around his muscle.
“We will have to wait until tomorrow so we can confirm it, but I think for Sunday he is a big doubt and I don’t think that he can play.”
The veteran centre-back appeared to strain a muscle when stretching for the ball in the first half.
He immediately signalled to the bench that he was in trouble, and was replaced by Andreas Christensen.
The fact that Silva managed to leave the pitch without the aid of a stretcher will be a cause for optimism for Tuchel. He was also seen walking to the changing room unaided for check ups with Chelsea’s medical staff.
But Sunday is likely to come too soon after starting each of Tuchel’s three games in charge since the German succeeded Frank Lampard at Stamford Bridge.
With Kurt Zouma missing the game against Spurs after pulling up during training on Wednesday, it could leave Chelsea short of defensive options for the weekend.