Medvedev still leads their head-to-head 7-6, although the Italian Sinner has won six of their last seven meetings.
Top seed Swiatek, who won the title two years ago, showcased her all-court game in a straightforward 6-4, 6-1 win over Russian Liudmila Samsonova to open the evening session at Arthur Ashe Stadium and warned she was only going to improve.
The Russian looked out of sorts early on Centre Court as he lost the first set.
Medvedev, a semi-finalist last year, hit 16 aces in his 6-3, 6-4, 6-2 win over Aleksandar Kovacevic of the United States.
De Minaur had never got past the second round at the tournament before this year, winning just three of 10 matches.
Italy's Jannik Sinner destroyed defending champion Daniil Medvedev 6-1, 6-2 in just 69 minutes on Friday to reach the final of the ATP Miami Open, where he will take on Grigor Dimitrov.
Daniil Medvedev returned to action for the first time since his Australian final defeat on Tuesday with a straight sets win over Alexander Shevchenko in Dubai.
Medvedev feels ready to get back on court after spending the last seven days training in Dubai.
Since Stan Wawrinka won his only title in Melbourne in 2014, Novak Djokovic has picked up six trophies, Roger Federer has won two and Rafael Nadal has won one.
Top seed Daniil Medvedev will open his U.S. Open title defence onMonday against American Stefan Kozlov but faces major hurdles on the path to a second Grand Slam title at Flushing Meadows, including in-form Australian Nick Kyrgios.
Top-ranked Daniil Medvedev committed 11 double-faults in falling to Stefanos Tsitsipas 7-6 (8/6), 3-6, 6-3 in Sunday's semi-finals of the ATP and WTA Cincinnati Masters.
Daniil Medvedev said he tried to use the extra time away from the court to his advantage after Wimbledon banned Russian and Belarusian players from the grass court major in light of Russia's invasion of Ukraine.
World number one Daniil Medvedev won his first ATP title of 2022 on Saturday, roaring past defending champion Cameron Norrie 7-5, 6-0 in the final of the hardcourt tournament in Los Cabos, Mexico.
Daniil Medvedev will arrive in New York for his U.S. Open title defence this month as the top seed after the Russian confirmed his stay as world number one by reaching the final in Los Cabos, Mexico on Friday.
World number one Daniil Medvedev, playing his first match in six weeks, beat Australian qualifier Rinky Hijikata 6-4, 6-3 on Wednesday at the ATP hard court tournament in Los Cabos, Mexico.