The Nigerian international played his first game for the Blues in Saturday's game against QPR
The 21 year-old Nigerian international came on as a second half substitute as Roberto Di Matteo's men searched for a goal to break the deadlock.
He looked lively on the ball as he tried to help his side find options up front. His pass to Belgian playmaker Eden Hazard was, however, sent high above the cross bar.
Moses moved from Wigan during the summer transfer window. He is expected to grow into a very important squad player in the camp of the European champions.