Djokovic reached his fourth final in Paris with a 6-2, 6-1, 6-4 demolition of Austria's Dominic Thiem to move one match closer to a career Grand Slam.
The world number one will now tackle second seed Murray who knocked out defending champion Stan Wawrinka 6-4, 6-2, 4-6, 6-2.
As well as the title, there will be a hefty chunk of history at stake on Sunday.
Djokovic, playing in a 20th final at the majors, is seeking a first Roland Garros crown to become just the eighth man to complete the career Slam.
Sunday will be Djokovic's sixth successive Grand Slam championship match as he looks to add to his collection of 11 majors.
He already holds the Wimbledon, US and Australian Open trophies.
"The atmosphere was fantastic. It's the first time I have played a semi-final on the Suzanne Lenglen court," said the top seed.
"I played the best tennis of the tournament so far. I am now in the situation where I always dream of being each season, in the final of Roland Garros."
- Untouchable -
===============
A double fault by the young Austrian opened the door for Djokovic to take the first set in the eighth game.
Djokovic was just as untouchable in the second set despite playing for a fourth successive day.
Breaks for the Serb came in the fourth and sixth games and the set was wrapped up in just 25 minutes.
Thiem, playing in his first Grand Slam semi-final, had taken just nine points off the Djokovic serve at that stage.
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