The 23-year-old has signed a new five-year contract with the Champions League champions.
Bertrand made his Champions League debut in the final itself in May.
Reports suggest that Bertrand has earned a pay rise to £35,000-a-week.
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Since Guus Hiddink arrived at the helm, Chelsea have improved considerably after a tricky start to the campaign.
Newcastle United are staring down the barrel of relegation to the Championship for the second time in the past eight years.