The Daily Mail says the striker sustained a groin injury in the warm-up ahead of Saturday's 4-0 win over Tottenham.
He has received intensive treatment on the injury and is hopeful of recommencing training before the end of the week.
The news will come as a boost to manager Jose Mourinho, who would like the Spaniard available for Tuesday's game with the Turkish side.
The first leg finished 1-1, with Torres scoring the visitor's only goal in Istanbul.
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