If you look at Pochettino's tactics now, I'm not sure he will last until the end of the season at Chelsea. It is very likely that he will be fired halfway, then as usual Chelsea will again appoint an interim coach to replace Pochettino's role. This scenario happens very often in the Chelsea squad, especially under their old owner Abramovich.

However, if he can recover in the next matches, Pochettino can escape the pressure, both from the owner and the Blues fans. For now, the absence of main striker Nkunku could still be the main reason, we'll see what happens after he returns to playing.