On one hand, the club owner Farhad Moshiri issued a public vote of confidence in the Spaniard: "Rafa is a good manager and underperformance is largely due to the injuries.
"(In the) next two weeks, we will get to a full squad and, in the meantime, results will improve. Rafa needs time to have his mark on the squad. He will be supported to add depth to the squad. Managers need time."
On the other hand, betting companies believe that the ex-Liverpool boss is the likeliest manager in the Premier League to lose his job.
Betfair, for example, has drastically shortened the odds on this happening to 1/7.
Benitez's chances to remain in the jo were not helped by the fact that only the away fans chanted his name during the derby at Goodison Park.