"Not an ideal situation for me but somehow managed to come back", Djokovic added.
"I am looking forward to a second week of a Slam".
"There is a certain unwritten borderline where you feel that it's a bit too much, " Djokovic said about being booed at times by the partisan crowd on Centre Court at the All England Club on Saturday (NZT Sunday).
The fans, energized and excited after England's 2-0 win in the World Cup quarterfinals, were loud and in Edmund's favor.
The 21st seed bludgeoned the former world No 1 with his powerful forehand to take the opening set 6-4 as temperatures soared above 30 degrees in the heat of battle.
Djokovic heaped praise on Edmund ahead of their third-round tie, saying he is impressed with the way the 23-year-old has been handling the burden of expectations of the Brits in the absence of two-time champion Andy Murray, who withdrew from the tournament at the eleventh hour.
He found himself down 0-30 serving for the set but recovered impressively, clinching it with a 131mph service victor.
"It was a great atmosphere to be in, " Edmund said.
Djokovic, who was beginning to look a lot more comfortable off the ground, served it out 6-3.
Next up for Djokovic will be 22-year-old Russian Karen Khachanov, who rallied from two sets down to defeat American Francis Tiafoe 4-6, 4-6, 7-6 (7-3), 6-2, 6-1 on Saturday.
With the energy of the crowd behind him, a pumped up Edmund picked up the pace and began to hurt Djokovic with ferocious forehands.
Edmund finally held after saving four break points but his resistance ran out in his next service game as the 12-time Grand Slam champion served out the match to send out a warning to his rivals.
Edmund has so far appeared utterly unfazed about carrying the weight of home expectation at Wimbledon for the first time, and can take confidence from his last meeting with Djokovic in Madrid in May, when he claimed his first win in four against the Serbian. He is predicted to reach a new career high of 15 at the end of the tournament, although others may yet go above him.
'No, no, no. I don't think he deserves that, ' he said after his triumph.
"In some ways you could say it would be better if it was first", Hilton told reporters, "because Kyle will want to watch the match, want to be involved in some shape or form, it can be quite draining, just emotionally, because you can't help get involved with it". But he's playing well, winning pretty comfortably both his matches here.
He also insisted he was unsure whether the ball actually bounced twice on the disputed call in the fourth set.
Kei Nishikori equaled his best Wimbledon performance as he advanced to the fourth round by beating Nick Kyrgios 6-1, 7-6 (3), 6-4. "I asked him. So, yes, it was quite a unusual decision from [the] chair umpire, but it happens".
However, his run to the semi-finals at the Australian Open earlier this year underline his undoubted class and the U.S. hard court season presents a big opportunity for more gains, as he seeks to better a fourth round appearance at Flushing Meadows two years ago.
Bencic, who staged a strong return to competitive play at Wimbledon after being sidelined for several months due to injury, will next face off against former world No. 1 Angelique Kerber of Germany, now world number 10.
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