The weekly political panel show is to be relocated as part of BBC proposals to produce 50% of its content outside of London by 2016. Staff on the show are said to think that they should be based in the capital, close to the political centre of the country.
While he would not comment directly on the move, host Dimbleby told The Guardian: "Question Time looks simple enough on air, but actually it's the result of a great deal of work behind the scenes - at Westminster."
The programme's editor Ed Havard, who was reportedly chosen by Dimbleby, has resigned because of the planned relocation.
"Ed is a brilliant editor, one of the best we've ever had," Dimbleby said. "It's sad when a programme at the top of its game, getting big audiences, loses its editor."
While the programme itself is currently produced in London, it is filmed at different venues across the UK each week.