The presenter was loading the animal onto a trailer when it reared, knocking him out and leaving him with a cut that required stitches.
Dimbleby was admitted to hospital yesterday and had to stay overnight for observation, but will return to the news panel programme next week.
He said: "I haven't missed a Question Time in over 15 years. Trust my wife's bullock to take me out. I'll be giving bullocks a wide berth in future."
Question Time airs tonight at 10.45pm on BBC One.