As it stands, the 17-time Grand Slam champion is now on 8,950 points while Federer, who has to win a ninth Wimbledon title to retain the full 2,000 points, is now on 8,720. That's a decision that should please Djokovic, who told Serbian media on Monday that he was unhappy about playing all but one of his matches this year away from Centre Court.
"Well, it's going to happen anyway, if I'm going in the final or not, the Wimbledon final will take place, and so will the World Cup final", Federer said in a seemingly tongue-in-cheek response. So, too, is 19-year-old Denis Shapovalov of Canada.
Like Federer, who earlier beat Frenchman Adrian Mannarino 6-0, 7-5, 6-4, Nadal is through to the last eight without dropping a set.
The world No 1 broke late in the first set before serving for victory - and he followed suit in the second to win by the same score.
Roger Federer has been pushed off Wimbledon's Centre Court for the first time in three years.
Like Nadal, who could strike Djokovic in the semis, Federer hasn't dropped during his charge to a 16th Wimbledon quarter-final, nearly surely a staggering record that will never be surpassed.
But the United States president, a keen tennis fan, has a packed schedule after touching down on Friday, and Wimbledon looks like missing out to Chequers and Theresa May ... or whoever is prime minister that day.
"The overall goal is try to win the tournament", the great Spaniard said.
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And though his Wimbledon debut ended there Monday, when he ran into the big serve and arrhythmic game of the 6-foot-10 John Isner, Tsitsipas said he was pleased to have achieved his goal.
Despite being a three-time champion, Djokovic has featured just once on Centre Court - against British home favourite Kyle Edmund in the last 32 - in the opening four rounds. And none has lost a set in the tournament. I'm really happy for you.
Federer said afterward that he never got ahead of himself despite winning the first set 6-0. The prestigious Centre Court at the All England Club became witness to the iconic moment and Twitter went insane over the clip.
"If you ask me if I prefer another one, I say yes".
Of the half-dozen pretenders, these two appear most likely to play the pantomime villain.
While the men get Tuesday off at Wimbledon, the women return for their quarterfinals.
Nadal reached the quarterfinals of Wimbledon for the first time since 2011 after defeating Jiri Vesely in a 6-3, 6-3, 7-5 victory on Monday.
The fifth seed lost to Nadal in the Paris semi-finals last month, however.