The world number 45 produced an impressive first set performance as Pliskova, who had lost in a two-time Grand Slam final, made 14 unforced errors.
And Pliskova’s performance improved in the second set, but Lynette had the solutions against her Czech opponent, breaking her serve to lead 6-5 before settling the match.
Linette will play either Aryna Sabalenka, the tournament’s fifth seed, or Donna Vekic for a place in the final.
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