"So I think it's not fair but it is the way it is, in the mix of emotions and a tough match it happens".
The next challenge for Djokovic is a quarter-final against Kei Nishikori, who he has beaten 12 times in a row since the Japanese star claimed his biggest victory in the semi-finals of the US Open in 2014.
The Spaniard proved it with a daring chase-down attempt during his win over Juan Martin del Potro overnight, climbing into the stands after trying to reach a ball.
Djokovic looked in control in the first set.
After two years of physical and mental struggles, Djokovic appears fit and confident and ready to try to add to his tally of 12 grand slam titles.
"I've been building the last couple of weeks on the level of tennis that I've played the last couple of month, the last couple of clay-court tournaments and Queen's".
Djokovic has got his wish as he will take on the world number 24 Kei Nishikori on Centre Court, while Federer will take on Anderson on court number one.
Rafael Nadal Topples Juan Martin Del Potro to Advance at 2018 Wimbledon
Del Potro was straining to stay in touch in almost every point, and his gambling instincts drove him to explore the white lines. There was a look of glee in Del Potro's sometimes sad eyes, and his lumbering between-points walk had a bit more energy to it.
Federer fell to 266-3 in career Grand Slam matches where he won the first two sets.
"That was I think the biggest chance I had".
"I thought it was unnecessary to get the warning", Djokovic said as he came off court. "I knew how I threw the racquet", Djokovic later explained. One it's an unbelievable feat but also it must take an incredible amount out of you and winning that French Open for him must have been something he'd been trying to do for a very, very long time and he'd put so much effort in, lost some tough ones in the years gone by.
Federer faces eighth seed Kevin Anderson, who he has not dropped a set against in four previous meetings.
Forced to fight back from 15-40 down, Djokovic saved a set point and showed a quick pair of hands to swap onto his forehand from left court and fire across Nishikori and into the last four of the competition. Not just an experience, but a challenge that I've set for myself. "I feel like I'm peaking at the right moment".
The final last-eight clash is unlikely to feature too many rallies, with John Isner taking on Milos Raonic.
Rafael Nadal has a bit of that on his side, with the world No.1 the sole player from the top seven in the men's rankings to reach the semi-finals.