Both players competed in 34-degree heat and struggled in humid conditions. Medvedev received two medical timeouts due to high temperature. The rallies between both players were long and lung-busting, but the 27-year-old Medvedev beat Rublev in two hours and 48 minutes.
Djokovic on Tuesday night overcame USA's Taylor Fritz to reach the semifinal of the ongoing US Open at New York, making it his 47th appearance in a Grand Slam event semifinal.
The 36-year-old also had to contend with the humidity at Arthur Ashe Stadium, regularly using an ice towel and ingesting salts during timeouts to keep himself in shape. He appeared to feel dizzy at times during the match but maintained a high level to advance to a record-breaking 47th Grand
Reigning US Open winner and World No.1 Carlos Alcaraz will start his title defence against Dominik Koepfer and could meet sixth seed Jannik Sinner in the quarterfinals.