being in jeopardy is one thing, getting fired is another entirely. Look at Vanderbilt in Allen. If that don't get you fired, then nothing short of complete suckitude will.
For those of you not in Allen, in the last 13 seasons, Vandy has lost in the first rnd of the PT one time. Zero NT berths, conference championships, CT championships, etc. 1 PT berth in 13 seasons in the SEC. So I don't think you need to worry. (granted Vandy has had some 15-13 type years with 100-120 rpi's, but that's not great.
(And I am not advocating that vandydave get fired, just trying to show it is hard to get fired)