Djokovic and Nishikori will play the first match on Centre Court, followed by arguably the pick of the quarter-finals between Nadal and Juan Martin del Potro, meaning Federer must make a rare visit to Court One.
The Serbian is playing his best tennis for two years as he appears to have finally put injuries and poor form behind him.
"I just try to build the momentum".
A sprightly Nadal went on the front foot to turn the tide in the fourth, Del Potro twice hitting the deck as he was broken to love to trail 3-2 and while he saved two set points behind his powerful serve, the 11-time French Open champion was jumping for joy after a searing backhand victor made sure the match would go all the way.
But just as a record-extending 44th grand slam semi-final appearance beckoned, Federer blinked - and eighth-seeded Anderson seized the moment.
"I think I can move a little bit better than he can", Raonic said.
Spain's Nadal and Serbia's Djokovic have won 29 Grand Slam titles between them, including five previous victories at SW19.
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While you were watching the World Cup semi-final last night, and before that, while you were desperately trying to get out of work to go home and watch the World Cup semi-final, there was a day for ages playing out at Wimbledon, featuring, of course, Roger Federer and Rafa Nadal.
Nadal's total of nine Grand Slam match-wins against Djokovic is the most that anyone has managed against the Serb, but Djokovic has also defeated Nadal at the Grand Slams more often than anybody else, with 4 victories against the Spaniard at the majors.
Second, his opponent will be two-time Wimbledon champion Rafael Nadal.
The Majorcan, who is the world number one but seeded second at Wimbledon, looked refreshed as he breezed through his opening four matches without dropping a set.
Like Federer and Anderson, Nadal and del Potro Nadal slugged it out for more than four pulsating hours before Spain's 17-times major victor finally landed the knockout punch.
Opportunity knocks for both men here with a chance at a first Wimbledon final.
However, both men have grown into the tournament while Federer crashed out to big-serving South African Kevin Anderson.
"If I want to beat him (Nadal)", Del Potro said.