The 32-year-old played for 45 minutes as the Blues beat their local rivals 2-0 thanks to goals from Islam Feruz and Lewis Baker.
Terry has been out of action since straining his knee ligaments in a collision with Liverpool striker Luis Suarez during a Premier League clash back in November.
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He told reporters: "It depends on his reaction. Obviously Thursday will be a different kind of game but we will see how he feels.
"If he can feel okay and train the day after, at least we can start considering him as an option."