Yesterday he beat Croatia's Ivo Karlovic in straight sets. Tomorrow's quarter-final pits him against Australian Lleyton Hewitt, who won the Wimbledon title in 2002 and has beaten Federer in eight of their previous 12 matches.
Hewitt said: "I can beat him but it's going to be a tough match. He's the best player out there at the moment. He's No 1 for a reason and he's going through the draw pretty convincingly, so I'm the underdog. He's very hard to stop when he gets confident."
Federer seems so in control on the fast, grass courts, so at ease on the Centre Court with which, he admits, he has fallen in love since last year's triumph over Mark Philippoussis.
The Swiss player has the calming air of a doctor in his consulting room. Many of the other players make time to watch him live in a bid to find a cure for the ailments in their game.
Lindsay Davenport, the former women's champion who has reached the quarter-finals this year, said: "As a tennis fan you have to think that Roger Federer is the most amazing thing to watch.
"The way he plays, the way he moves, the way he acts. If you were to mould a perfect tennis player, that would be him.
"I love to watch him play. I could watch Federer all day long."
Federer admits he is going through a superb period and is relishing every minute of it. He said: "I enjoy the way I'm playing because I'm winning many matches. That was not always the case, so I'm enjoying it."
But asked if he feels invincible on grass, Federer said: "I don't try to think too much about it. Every match so far on grass has been quite unbelievable. From here on only tough opponents will come my way."
So who is going to stop him? Perhaps Tim Henman with a fanatical crowd at his back which might upset his composure. Or Andy Roddick, the American second seed who has not dropped a set on his way to the last eight.
Anything is possible, but the reality is that Federer is going to have to suffer a bad day for anyone else to have a chance.
Roddick said: "He hits shots not a lot of other people think of hitting. It seems he's kind of immune to pressure. He just plays his game. Mentally he's very strong and has no sense of panic in his game, which is impressive."
