It was in 2004 that the tennis world last witnessed a French Open men's singles final without either of Novak Djokovic, Roger Federer and Rafael Nadal.
World no. 1 Swiatek extended her winning run in Paris to 20 matches and advanced to a fourth Roland Garros final in five years.
Novak Djokovic confirmed on Thursday he had undergone an operation on his right knee that he injured at the French Open and that it "went well".
Novak Djokovic's worst fears materialised as a knee injury forced him out of the French Open while women's reigning champion Iga Swiatek surged into the semi-finals.
World number one and 24-time Grand Slam champion Djokovic had been due to play Casper Ruud in the quarter-finals on Wednesday
Casper Ruud continued his bid to reach a third straight French Open final with a four-set victory over American Taylor Fritz in the last 16 on Monday, setting up a meeting with Novak Djokovic.
Novak Djokovic shrugged off an injury to his right knee as he came from two sets to one down to outlast Cerundolo 6-1, 5-7, 3-6, 7-5, 6-3 after four hours and 39 minutes.
On Monday, three-time French Open champion Djokovic faces Argentine 23rd seed Francisco Cerundolo for a place in the last eight.
Djokovic came from two sets to one down to defeat Lorenzo Musetti 7-5, 6-7 (6/8), 2-6, 6-3, 6-0 in a clash which only started just before 10:45 p.m. (2045 GMT) on Saturday.
Alcaraz and Tsitsipas will face each other in the French Open quarter-finals.