Drogba may be available for the side's friendly against Germany in Gelsenkirchen next Wednesday.
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Chelsea had received a boost on Tuesday when Drogba was given the all-clear on the rib injury he suffered in their 1-0 win at Stamford Bridge.
A scan revealed bruising around his chest rather than a broken rib.
Chelsea are also hopeful that Ashley Cole, who pulled out of the England squad to face Brazil on Saturday, will recover in time from a fractured tibiato to face Arsenal on Nov 29.