The four-time Grand Slam winner lost to Russia's Kudermetova in the second round of Indian Wells Masters on Sunday.
Medvedev is 1,100 ATP Ranking points ahead of world No.3 Alexander Zverev and 150 points ahead of world No.2 Novak Djokovic.
The Australian-ace will make his first appearance at the Indian Wells after clinching the Australian Open 2022 doubles titles.
US tennis player Coco Gauff had tested positive for the coronavirus, forcing her to pull out of the Tokyo Olympics.
Cameron Norrie clinched the Indian Wells men’s singles title with a 3-6, 6-4, 6-1 win over Nikoloz Basilashvili on Sunday.
Spain’s Paula Badosa beat Victoria Azarenka in a gruelling final to win the prestigious Indian Wells title on her tournament debut on Sunday.
On the back of her straight sets victory, Paula Badosa became the first Spanish woman in 25 years to advance to the BNP Paribas Open final.
Alexander Zverev led 5-2 in the deciding set but failed to convert his two match points, allowing Taylor Fritz to make a comeback.
The World No.27 went past the German player in straight sets to book a spot in her second WTA 1000 semifinal of the year.
The Bulgarian edged past the 24-year-old 3-6, 6-4, 7-6 to reach his first ATP Masters 1000 semi-final of the season.