The Japanese superstar has a chance of dethroning Barty at the top of the rankings this upcoming fortnight but she must at least reach the Roland-Garros final and hope that the Australian does not make it to the last-four stage.
Osaka joked earlier in the year that she wouldn't want to face Barty in a final and later explained why.
"When I say I wouldn’t like to play her, I just know it’s going to be hard,” said the 23-year-old. “It would be fun. I know there are people that I want to play that I know is going to be hard.
"Like I’d love to play [Bianca] Andreescu in a final. I think regardless of what I feel, I feel like the audience would have a lot of fun with that. I would love to play Iga [Swiatek].
“For me, it would be fun to play Barty, but it would stress me out. I think I would feel stressed out the day before.”