Reports of Chen's exit from the show follows the resignation of her husband Les Moonves from CBS amid multiple sexual misconduct allegations.
The chat show host will reportedly resign via a pre-taped video message on Tuesday's show.
A source told CNN: "She has decided that her main focus needs to be clearing her husband's name from accusations made 25-30 years ago and tending to her son."
However, Chen is believed to be maintaining her role as host of "Big Brother."
CBS was not responsive to CNN when approached for comment.
Last week viewers were thrown when Chen closed "Big Brother" by using her full-married name, Julie Chen Moonves, clearly showing support for her husband Les Moonves, who has been accused of sexual harassment by multiple women.
This was the first time Chen used her full married name in the history of the show -- she's been playing host to "Big Brother" for 18 years.
"From outside the 'Big Brother' house...I'm Julie Chen Moonves. Goodnight," the CBS star said.
Chen's sign off indicated she is standing by her husband, despite the many allegations against him. Moonves has been a CBS boss since 1995. He stepped down as CEO last week. However, he continues to deny all claims of harassment and abuse.
The fallout began when journalist Ronan Farrow wrote an article in The New Yorker back in July 2018. In the story, six women claimed that Moonves had either harassed, intimidated, or abused them while at CBS. The network subsequently investigated the executive. Then, earlier this month, six more women came out to accuse Moonves.
Chen, who has been married to Moonves for over a decade, has been absent from "The Talk," since her husband's resignation.
Previously when some of the allegations came to light, Chen tweeted: "Leslie is a good man and a loving father, devoted husband and inspiring corporate leader. He has always been a kind, decent and moral human being. I fully support my husband and stand behind him and his statement."