A New York Times reporter suggested Thursday that conservative TV host Sean Hannity could be the next Fox News host to be pressured to leave the network, after Bill O'Reilly's stunning decision to leave Fox in the wake of sexual harassment claims.

On MSNBC, Times reporter Jeremy Peters noted a 2010 report about Fox that included a quote that said some within the Murdoch family were unhappy with the way the network was being run. Rupert Murdoch and his two sons are the top executives of the corporation that owns Fox.

"I think you have to look at somebody like Sean Hannity," Peters said, "and question whether or not his almost propaganda-like attitude and programming every night is going to be acceptable in the minds of the family which is clearly trying to shift the network in another direction."

Hannity is widely viewed as President Trump's biggest champion in TV news, and rarely has anything critical to say about the White House. He is also now the longest running host in Fox's prime-time lineup now that O'Reilly was ousted this week.

Before O'Reilly's departure, Roger Ailes was forced to leave his perch as Fox's long-running CEO last summer after several women accused him of sexual harassment.

The fallout and reorganizing of Fox is reportedly being led by Lachlan and James Murdoch, who are said to be attempting a repositioning of the highest-rated cable news channel, well known for its conservative bent.

A spokesperson for Fox did not return a request for comment from the Washington Examiner.