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The 27-year-old parted with American Michael Joyce very recently and has now moved to hire the Frenchman.
Zavialoff is one of the former coaches of three-time Grand Slam champion Wawrinka with the pair having worked together for 17 years.
Konta will initially work with the 43-year-old on a trial basis at the upcoming Kremlin Cup - the final event for the Brit this season.
She is currently ranked at number 46 in the world and is looking to revive her fortunes after having been as high as number four last July.
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Zavialoff has also coached Swiss star Timea Bacsinszky, who has twice reached the semi-finals of the French Open and broken into the top 10.
Konta has won three singles titles on the WTA Tour but has not found form since she reached the final of the Nottingham Open in June.
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