"We always knew the danger was there for either one of us," Federer told BBC Sport. "I hope that Novak is okay with his injury and I hope for Andy and Novak they will recover for the American summer. And Rafa, I'm convinced he will be back very strong.
"Berdych is a good friend of mine and it is nice to see different guys, but I'm glad my dream run has continued."
The 18-time Grand Slam winner's quarter-final triumph was his 100th match at Wimbledon.