In an interview with Now magazine, the 37-year-old cage fighter also said that his family have only met their new addition twice since she was born three months ago.
"My parents have only seen her [Dolly] twice in 13 weeks. That kills them," he said. "I take as many pictures as I can. It's at the point now where they need to see her. It's hurting them."
"Chantelle said I can see Dolly at any time - but only if she's there.
"I've told her we have to speak about it because I'm going to want to take Dolly. Not away from her, but for a day. I want to take her to see my family."
Alex - who split from Chantelle two weeks ago - also revealed that he intends to return to cage fighting so he can provide for his daughter.
"I want to go back to the real me... I never wanted to be famous just for being famous.
"I go into the gym and they literally try to kill me because I'm Alex Reid and they want to boast about it on Facebook or Twitter. But I've got to provide for my little girl. I have to feed her."
Read the full feature in Now magazine, out today
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