Gauff, who is guaranteed to move up to number two in the rankings, lost 6-4 6-2 to home favourite Jasmine Paolini in Saturday's Italian Open final, after going down to Aryna Sabalenka at the Madrid Open final earlier this month.
"Hopefully I can get to the final in Roland Garros and maybe the 'third time is a charm' thing is a real thing," Gauff told reporters after her second loss in a WTA 1000 final.
"Overall I lost to two quality opponents, Aryna in Madrid and Jasmine here. So yeah, I think I have a lot to improve, a lot that I can work on."
United States Open 2023 winner Gauff has struggled with unforced errors during the Italian Open, making over 70 in her semi-final win over Zheng Qinwen and 55 on Saturday, giving Paolini a significant edge.
"I made the final with those errors. Made the final, maybe not playing my best tennis," said Gauff, who reached the French Open final in 2022 and was a semi-finalist last year.