The 25-year-old former X Factor hopeful is mum to Destiny, eight, from a previous relationship but keeps the little girl away from the limelight.
Speaking to New magazine, the star said although things went well with Bear inside the house, it's far too early to be introducing him to her daughter.
"We did speak about her but I'm really cautious," said Chloe. "I've only introduced her to one partner, after her dad. It's too early to think about yet. Bear's dad did say we should both come over for dinner though, which was sweet."
Chloe met Bear's dad following her eviction, when he visited the Borehamwood studios to support his son, who had been nominated for eviction the same night Chloe was booted out.
Meanwhile, Chloe also told the magazine how "proud" she is of Destiny, who she says is thriving at school and the most important person in her life.
"She looks like me," said Chloe. "She has long beautiful hair and she's so pretty. But she's not a girlie girl, which is cool. She's top at her school for reading and she has a 100 per cent attendance record. She's just amazing and so clever. I love her with all my heart."
Chloe added that she's taking legal action against reports she's a "bad mother", venting: "That little girl is so loved."
Chloe formed a romance with Bear inside the house after he publicly dumped girlfriend Lillie Lexie Gregg, and even said she loved him after she was evicted. Now, back in the outside world, Chloe is waiting to be reunited with Bear. He's up for eviction again on Tuesday night (as he has eternal nomination) but if he doesn't go then, she'll see him later this week after the big finale.
Speaking about Bear on This Morning last week, Chloe said: "We have plans. He did ask me to wait for him and he said we'd go away for a few days when he gets out and just talk."
And Bear's missing Chloe just as much, with Big Brother revealing this week he keeps a photo of the brunette star in his shoe! He's also been writing her name across his body every day.
CBB continues 9pm on Channel 5 when two housemates will go home in a double eviction.