The 23-year-old British number one leapfrogged the 24-time Grand Slam champion Novak Djokovic, 38, and took the fifth spot from one the globe's best tennis players after he thrashed Italy's Matteo Arnaldi, 24, 6-0,6-4 just after 77 minutes in the quarter-finals of the Madrid Open earlier this month.
It came after a string of success for Draper so far in 2025.
This includes claiming his first French Open win at Roland Garros after he demolished Italy's Mattia Bellucci, 23, 3-6 6-1 6-4 6-2 on Tuesday (27.05.25).
Also, the tennis prodigy reached the US Open semi-final last year where Italian Jannik Sinner, 23, beat the 2018 Wimbledon Championships – Boys' singles runner-up 7-5 7-6 6-2.
Now, Draper has caught the attention of the four-time major winner Alcaraz, and he is delighted that the Team GB tennis star will "reach his best ever career ranking [world number four] after the French Open.
Alcaraz, 22, told TNT Sports: "He’s a really nice person off the court. Everybody has seen what he’s capable of doing on the court.
"He’s a great player. After this tournament he will reach his best-ever career ranking - world No. 4 - I’m just really happy for him.
"I’ve never had any doubt about him. I respect that he’s going to be where he deserves to be and he deserves to be at the top.
"He’s a really dangerous player. I’ve faced him a few times already but it’s great to see him at the top."
Draper made history with his defeat against Arnaldi and ranking because it marks only the second time a left-handed player has reached the top five in the past 100 years, following in the footsteps of the 22-time Grand Slam winner Rafael Nadal, 38, who retired from the sport after playing for Spain in the 2024 Davis Cup Finals.
Following the 23-year-old tennis sensation's win against Arnaldi at the Madrid Open, he told Sky Sports: "I feel stronger every time I play.
"Against these guys, I used to feel like I would be the one on the back foot, the one defending, so the next part of my game was getting capable physically to do the things I know I can do and bully these guys.
"I have been doing everything in all areas pretty well and am excited to keep on going. Hopefully, it keeps coming together."