The 29-year-old star hosted the programme alongside the comedienne until her death aged 81 earlier this month, and while the show is set to return next year for a new series, Kelly is insistent another present won't join the show.
She tweeted: ''#enough already!!! yes @e_FashionPolice Will be back in January but NO ONE WILL REPLACE @Joan_Rivers! (sic)''
Despite this, Kathy Griffin is currently favourite to take Joan's place on the show alongside hosts Kelly, Giuliana Rancic, and George Kotsiopoulos.
E! confirmed earlier this month the show will return next year after the channel received the blessing of her daughter Melissa to keep the programme going.
A spokesperson said in a statement: ''We are deeply saddened by the loss of Joan Rivers and, for the last two weeks, have turned our attention to honouring her memory on all of our platforms. We have also thought long and hard about what Joan would have wanted as it pertains to the future of 'Fashion Police'.
''We decided, with Melissa Rivers' blessing, that Joan would have wanted the franchise to continue. 'Fashion Police' will return in 2015 commencing with Golden Globes coverage on Monday, January 12. No further details will be announced at this time.''
Kelly was left ''completely heartbroken'' after Joan's death and paid tribute to her 'Fashion Police' co-host in a heartfelt message.
She wrote on her official Facebook page: ''I'm completely heartbroken by the loss of my beloved Joan. Not only was she my boss, she was and will always be my teacher, therapist, closest friend, inspiration and the only grandmother I ever knew.
''She was family and I will never forget her. Laughter will be difficult for a while but when I'm sad, lonely or upset all I will have to do is think of Joan and a smile will cross my face. Laughter is what she gave us and laughter is what she would want us to do in remembrance of her.''