I think Levy is thinking, its all about the cup. Win it and he can justify keeping Mourinho on.
Mourinho has clearly failed. Sacking Poch was a shock to most, and a mistake there is no doubt. He could work with Levy who will always want to buy players with potential rather than the finished article.
That said, Mourinho can still come good. Like Poch in his last season, he has fallen into the trap of searching for his best team. Especially in defense. Poch did the same thing, chopping and changing as we were poor. Whoever we sign, the manager has to discern his best players, and then stick to them. No one is clear who they are, and who will step up and make positions their own. But we desperately need a leader in defense and some consistency in the team. The midfield and defense need to coordinate, at the moment we are often far too open in the middle with all the bodies in defense. We don't pressure the ball in midfield enough and get too deep.