Despite playing second on Court One, Alcaraz should be finished in time to watch Spain play their Euro 2024 semi-final against France at 20:00.
After his four-set victory over French 16th seed Ugo Humbert on Sunday, Alcaraz said: “Hopefully on Tuesday we are not going to play at the same time, but let’s see. Hopefully I will be able to see a little bit of the match.
“I have a really good relationship with a few players of the team. In particularly, with Alvaro Morata. He’s a really good friend. I know they are supporting me when I’m playing matches or I’m playing tournaments. It’s my turn.”
Alcaraz, the reigning Wimbledon champion, has already won three Grand Slams at the age of 21 and takes on Paul, who is enjoying his best run in this tournament.
World number one Sinner plays Medvedev in a repeat of January’s Australian Open final, in which the Italian fought back from two sets behind to win his first Grand Slam title.
Medvedev was only on court for 40 minutes in his last-16 tie before opponent Grigor Dimitrov was forced to retire.
Medvedev won his first six meetings against Sinner, but has now lost five in a row to the 22-year-old.
Asked how Sinner has improved, Medvedev said: “When Jannik came on tour, everyone was a little bit [surprised] how strong he hits, how he can run fast and hit strong from every position of the court.
“But he was missing a lot, and hence losing a lot some matches.
“As soon as he stopped missing less, now it’s very tough to beat him for anyone. Not only for me.”