World No.1 Sinner, who had been fortunate to land a great escape against the luckless injury-stricken retiree Grigor Dimitrov in the previous round, showed no ill-effects from his own elbow injury suffered in that match as he downed American 10th seed Ben Shelton 7-6 (7-2) 6-4 6-4 in the quarters.
Then the amazing, ageless Djokovic came from a set down to outplay exciting Italian young gun, 22nd seed Flavio Cobolli 6-7 (6-8) 6-2 7-5 6-4 later on Centre Court on Wednesday to set up a 10th career clash with Sinner.
The great Serb's biggest scare came as he held a second match point, and took a nasty fall behind the baseline, effectively doing the splits and lying face-down on the grass, after he was wrong-footed by Cobolli's lifeline shot.
But, after being checked on by his concerned opponent and chair umpire Eva Asderaki-Moore, Djokovic got back to his feet gingerly, then somehow inevitably won the next two points to book a place in his 14th Wimbledon grand slam semi-final.
That's another record for the 38-year-old, as he's now surpassed Roger Federer's record of 13 appearances in the last-four and becomes the oldest men's semi-finalist since the great Australian Ken Rosewall in 1974.
"It was a nasty slip and that's what happens when you play on the grass. You expect to fall with the way I move and slide on the grass," said Djokovic.
"It came at an awkward moment but I managed to close it out. I will visit this subject with my physio and hopefully it will be fine in two days."
Earlier, Sinner, wearing a white sleeve on his racquet arm to protect his elbow complaint, was ruthless in taking advantage of the rare chances that came his way against the monster-serving, left-handed American Shelton.
"When you are in a match with a lot of tension, you try to not think about it," said Sinner, who has reached his fourth straight major semi-final. "It has improved a lot from yesterday to today."
There was a brief moment in the second set when it looked as if the injury could be concern as Sinner tried to return a 141mph serve from Shelton, shook his right wrist and then clutched the elbow with his left hand.
"You can't go into a match thinking that the guy's not going to be at 100 percent. His ball was coming off pretty big today, so I didn't see any difference," said Shelton, who was unable to take either of just two break-point chances.
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