Inside Chris Rock's Life Now, as He Prepares to Host “SNL”: 'He's Doing Great' (Exclusive Source)

The actor will host the late-night comedy sketch series for the fourth time on Dec. 14

Chris Rock is gearing up to host Saturday Night Live for the fourth time.

On Dec. 14, the actor, 59, will serve as host of the comedy sketch series for the first time since 2020, when he kicked off the show's 46th season amid the COVID-19 pandemic.

Rock, who was a cast member on SNL from 1990 to 1993 will also take the stage for the first time since the 2022 Oscars incident with Will Smith.

Related: The Academy Responds After Will Smith Slaps Chris Rock, Denounces 'Violence of Any Form'

Though it's unclear whether there will be a sketch referencing the drama — one insider says don't rule it out — another source tells PEOPLE that regardless, Rock is "doing great" now.

"He's looking forward to concentrating on his comedy and career, and he is writing a ton," the source continues.

Speaking about the Smith incident specifically, the source adds, "He talked about during his Netflix special [Selective Outrage] and a little bit in the press, but has since moved on."

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Rock, who most recently executive produced an animated version of his show Everybody Hates Chris called Everybody Still Hates Chris, has also been working on several upcoming films, including I Am Maurice and Misty Green, which he also wrote.

As for his dating life? Another insider notes that he's not dating anyone seriously.

He was previously linked to actress Lake Bell in 2022, after the two were seen on vacation in Croatia together.

At the time, a source confirmed to PEOPLE that the duo "have been seeing each other for a few weeks," and added, "They are getting to know each other and seem to have fun."

Related: Chris Rock and Lake Bell Hold Hands and Ride Boat During Croatia Vacation

The New York City-based star, who raised his daughters Lola, 22, and Zahra, 20, in the ritzy suburb of Alpine, New Jersey, with his ex-wife, Malaak Compton-Rock, remains a proud dad and an amicable co-parent with Compton-Rock.

The couple's daughter Lola studies in Paris, while Zahra is studying at USC.

Related: Chris Rock's 2 Daughters: All About Lola and Zahra

Rock and Compton-Rock were married in 1996 and split in 2014, finalizing their divorce in 2018.

Since then, Compton-Rock has been linked to Eric Maurice, who was once married to Sheryl Lee Ralph.

Saturday Night Live airs weekends on NBC.