Fletcher dislocated his shoulder at West Brom last Saturday, interim head coach Kevin Ball has confirmed.
The Scotland international landed awkwardly following a second half volley and was forced off at the Hawthorns.
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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.