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Krejcikova will climb from No. 30 to 16 on Monday after beating the top-ranked Iga Swiatek 6-4, 6-2 in Saturday's Dubai final.
Krejcikova became the first player to win both the women's singles and doubles title in Paris since Frenchwoman Mary Pierce completed the feat in 2000.
The 25-year-old is the first Czech to lift the Suzanne Lenglen Cup since Hana Mandlikova, who represented Czechoslovakia, triumphed in 1981.
Sakkari dictated most of the points and was greatly helped by her opponent's unforced errors.