The comedian tells PEOPLE she isn't sure if it's the "right time" for her to sign onto the show

By Emily Strohm
Updated November 04, 2014 04:50 PM
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Credit: Sara De Boer/Startraks

Fashion Police may have a new host – if Kathy Griffin decides to take the job.

The comedian confirmed to PEOPLE that she received an offer to cohost E!’s hit show, which is set to return in January.

“They did offer it to me,” she said Monday at the Make Equality Reality gala hosted by Equality Now in Beverly Hills. “I don’t know if the situation is correct or right at this time for me. We’ll see.”

While the network says it’s “still in talks with people and is making no announcements at this time,” there has been much speculation as to who will sign on since former host Joan Rivers died unexpectedly in September from low blood oxygen during a routine medical procedure on her vocal cords.

Following the 81-year-old comedian’s death, Page Six reported that Griffin, 54, may have been pushing for the coveted spot even before Rivers died. But Griffin’s rep, Justin Ongert, vehemently denied the speculation, telling the paper: “It’s just not true. It wasn’t Kathy. I know because it would have had to go through me.”

Added an E! spokesperson, “This is absolutely not true.”

While it’s still undecided who will take over on the show, Rivers’s longtime friend and cohost Giuliana Rancic is clear about one thing.

“It’s not about replacing Joan Rivers – no one can replace Joan Rivers. Ever,” she told PEOPLE in September. “It’s more about the show just being a great show and a fun show.”

Reporting by MATTHEW COLE WEISS

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