I doubt very much that the current CEO, Woodward, would make a decision of that magnitude just before his departure.
The odds seem to be on Richard Arnold replacing him.
Arnold, by profession, is another accountant. Lord only knows if he ever kicked a ball in his life.
If results are still not good, the usual thing to do would be to call the manager in and tell him he's got a month to turn it around
So... February at the earliest.
The litmus test will be if any funding for players is provided in the next transfer window