Maybe he isn't but I think it'd be crazy for him to be under pressure at this point. He's done an incredible job up there without spending truckloads of money. If you rule him out of Saudi Sportswashing Machine then Chelsea and probably City aren't jobs for him either. If you accept that, I don't think he's a million miles away from being a very serious contender for a Woolwich, Bin Dipper or Spurs job.
At Bournemouth, I admired what he did as he did do a superb job there but always thought they were soft defensively. He's sorted that at Saudi Sportswashing Machine which shows he's learned. He's also improved quite a few players up there (Almiron, Wilson, Joelinton and arguably Tripper, recent struggles notwithstanding, to name a few).
He's turned them from relegation candidates to CL challengers without spending bucketloads and without signing any massive stars.