The Republic of Ireland international was replaced at half time and replaced by Steven Naismith, and Moyes confirmed that it was due to injury, although a tactical change was also needed to take control of the game.
Gibson was seen to be in pain after hammering a free kick goalwards late in the first half, and hobbled around for a good few minutes after getting back to his feet.
Moyes said: “Darron had a bit of a thigh strain. We were going to have to make some changes in any case to get a better grasp of the game.”
Gibson is still waiting to hear the result of an appeal to the FA against his dismissal against West Ham last weekend.