Djokovic has been hampered by the elbow injury for 18 months and admits that he could now be in need of a break.
The No3 seed was sensational, winning 90% of his first-serve points, thumping 46 winners to nine unforced errors, and moving like a panther around the court.
Federer defeated Berdych 7-6 7-6 6-4 in the second semi-finals.
Murray looked on course for an eighth win in nine matches against Querrey when he led by a set and a break, but less than two hours later he was out, after the American fired down his 27th ace. "I'm going to talk to the specialist to find a long-term solution to solve it".
Berdych famously beat Federer in the quarter-finals at the 2010 Championships, on his way to the final which he lost to Rafael Nadal. This is why I go to the court every day, why I go practice, why I do all the things that I have to do for my career and for my results.
Victory would not only see the former world No1 surpass Peter Sampras to become the outright most successful men's player in the tournament's history, but would make Federer the oldest male champion of the modern era.
Roger Federer admits even he is surprised at his remarkable return to form but stopped short of saying he is playing the best tennis of his career. "They've got big serves, big forehands, they are big hitters".
"I believe this is his home court, place where he feels the best and knows that he can play the best game", Cilic said.
Cilic, the No. 7 seed, held up against a strong effort from the 24th-seeded Querrey to win, 6-7 (6), 6-4, 7-6 (3), 7-5, and, in his 11th try, set a record for most Wimbledon appearances before reaching the final.
Big sister Venus is keeping the family flag flying at the All England Club, reaching Saturday's final where she will face Spain's Garbine Muguruza.