The stakes are about to be raised considerably, and Edmund finds himself sharing the sporting stage, with England taking on Sweden in the World Cup quarter-finals at 3pm on Saturday. Djokovic got into a bit of a two-sided argument with the crowd after he was booed following a time violation in the third set.
The 31-year-old was beaten in the final at Queen's Club after Marin Cilic saved a match point, and came through the first two rounds at the All England Club without dropping a set this week.
Nadal's powerful forehand and his effectiveness on serve - winning more than 80 per cent of the first and second serve put in play during the second set - proved more than de Minaur could handle.
Edmund can count himself unfortunate to come across Djokovic so early, with the 12-time grand slam victor back on form and playing considerably above his seeding of 12.
"My game's really improved this year", insisted Edmund, the last British player remaining in the singles draw. It's been that constant learning process.
"I didn't deserve to be treated the way I was treated by certain individuals".
This win could prove vital for Djokovic, as he had to contend with both a risky opponent and a pro-Edmund crowd.
That wasn't the only point of contention in the match.
"This year I have tried to enjoy more, not just tennis but life, food, strawberries and cream". His groundstrokes crackle but more variety is required.
Djokovic has been serving pretty well so far and his defence is among the best in the world.
Agassi, who coached Djokovic on a part-time basis until they split in March, believes the Serbian can claim a fourth title at SW19, provided his body and mind can handle the challenge.
"There is a certain unwritten borderline where you feel that it's a bit too much", Djokovic said. "I think Kyle is ready".
Nishikori and the 15th-seeded Kyrgios, a former Wimbledon quarterfinalist, began their match on No. 1 Court only after 7 p.m. local time, meaning light was fading toward the end of the 1 1/2-hour match. "But today there was just some people, especially behind that end where I got the time violation, they kept on going, they kept provoking". "He has a very good team of people around him". "He's got a great work ethic, is committed and has a lot of respect from everyone in the locker room".
He has made the third round with the minimum fuss, dropping just 12 games in six sets.
His trademark shot and biggest weapon enabled him to take the first break of the match at the fourth attempt for a 4-2 lead, going on to serve out for the opener. He's top 20. He's going towards top ten.
Elsewhere, Jamie Murray combined with Brazilian Bruno Soares to book their place in the last 16 of the men's doubles and a clash with British brothers Ken and Neal Skupski.