The British number three stands at a career-high 102 in the world.
She chases two more wins to qualify for the first round proper at Roland Garros.
Konta next faces Pole Paula Kania, who is ranked 67 places below her in the rankings.
British number two Heather Watson could need to win three matches in two days to qualify.
Watson's first-round qualifier against Irina Falconi of Ecuador had to be moved back a day to Thursday due to rain.
James Ward's match with American Ryan Harrison in the second round of qualifying is also due on Thursday after being delayed due to rain.
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