Clay courts have not been Medvedev's strong suit and he was 0-4 at Roland Garros before last year's tournament but turned around his dismal record by reaching the quarterfinals of the 2021 edition of the Grand Slam.
Wimbledon can take stricter measures as the tournament "possesses a different status", the report added.
It was the first time in 13 years that the 35-year-old Monfils beat the No.1-ranked player in the world.
The Spanish great is now one major title clear of his ‘Big Three’ rivals after surviving the 2-6, 6-7(5), 6-4, 6-4, 7-5 thriller at Rod Laver Arena.
Should Medvedev defeat the Spanish great, he will become the first man in the Open era to win his first two Grand Slam titles in succession after his triumph in New York last September.
World No. 2, Medvedev beat Felix Auger-Aliassime 6-7(4) 3-6 7-6(2) 7-5 6-4.
Medvedev teed off at the chair umpire and lost his cool in the heat before steadying to claim a 6-2, 7-6(4), 6-7(4), 7-5 win over Maxime Cressy.
Medvedev remained calm as a robot in the face of fanatic support for Kyrgios to secure a clinical 7-6(1) 6-4 4-6 6-2 win.
Russia secured their third title and first in 15 years.
Medvedev sent the Russian Tennis Federation through by beating Sweden's Mikael Ymer 6-4, 6-4 for an unassailable 2-0 lead in the tie.