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If L.A. gets the Olympics in 2024, the Mayor says he already has one person in mind for the all-important lighting of the Olympic Cauldron ... Olympic legend Caitlyn Jenner!!!

The lighting of the cauldron is a HUGE honor -- with the host country usually selecting someone it feels can proudly embody what the country stands for on a global stage.

Past cauldron lighters have been Muhammad Ali, Wayne Gretzky and countless inspiring athletes from all over the world.

So, with the City of Los Angeles battling to get the 2024 games, Mayor Eric Garcetti told TMZ Sports the first person to come to mind for the honor is Caitlyn.