In a Facebook post, the 'My Kitchen Rules' judge said he and his co-authors would be releasing Bubba Yum Yum: The Paleo Way in April as an e-book and "with print to follow" because the team "didn't want to wait".
The cookbook titled, Bubba Yum Yum: The Paleo Way was due for release on Friday, March 13, but was dropped by publishers Pan Macmillan after health experts raised serious concerns about the recipes, including a DIY infant formula.
Mr Evans wrote on his Facebook page: "Charlotte, Helen and I are thrilled to announce that Bubba Yum Yum The Paleo Way will be a proudly independent digital worldwide release in April with print to follow. We didn’t want to wait, too many people are wanting this beautiful treasure trove of nutritional recipes."
The celebrity chef also alluded to the media attention he received over the paleo cookbook for kids.
"A huge thank you also goes out to all the media for them helping to raise awareness about this over the last week, we hope you continue to do more of the same. Keep up the great work promoting paleo."
Pete Evans, baby recipe blogger Charlotte Carr and naturopath Helen Padarin are the trio behind the cookbook. Mr Evans, a paleo diet advocate, has previously released Paleo Every Day and Going Paleo.
Pan Macmillan previously told SBS the book was not being recalled. But it was revealed on Monday the cookbook would be released by the authors as an e-book, and will not be published "in any format" with Pan Macmillan.
In a statement to SBS, the publishers said, "The authors of Bubba Yum Yum – The Paleo Way - for new mums, babies and toddlers have decided to release a digital version of the book very shortly, and will, therefore, no longer publish the book, in any format, with Pan Macmillan Australia."
Professor Heather Yeatman, president of the Public Health Association of Australia, said publishing the cookbook could lead to the death of a baby.

A screenshot of co-author Charlotte Carr's website.
"In my view, there's a very real possibility that a baby may die if this book goes ahead," Professor Yeatman told the Australian Women’s Weekly.
In a statement, the Department of Health said they were "closely scrutinising this diet and book".
"The department is concerned about the inadequate nutritional values of some of the foods, in particular for infants, and is investigating further," a spokeswoman said.
The DIY infant formula in the cookbook is reportedly based on bone broth. On the advice of her naturopath, co-author Ms Carr used the recipe as an alternative to breastmilk and commercial infant formula, which can be found on her website. Ms Carr did not want to use formula because she was worried about the ingredients, the AWW reported.
Tamarah Katz, a paediatric dietician at the Sydney Children’s Hospital in Randwick, has also slammed the DIY baby formula, saying it was "irresponsible" and "dangerous".

A DIY baby formula recipe as seen on co-author Charlotte Carr's website.
She said breastmilk or breastmilk alternatives, such as commercial infant formula, are the only nutrition that a baby should receive.
"The WHO have made it very clear that it is the only suitable replacement when breastmilk is not available," she told SBS.
According to the AWW, a disclaimer in the back of Bubba Yum Yum: The Paleo Way reads: "Although we in good faith believe that the information provided will help you live a healthier life, relying on the information contained in this publication may not give you the results you desire or may cause negative health consequences.”
Ms Katz said that while adults are free to follow fad diets, it shouldn’t be prescribed to infants and toddlers as they have different nutritional needs.
"Infants are not small adults. Their requirements are very different. And they're much more susceptible to ill-health than adults are.
"If adults want to experiment with fad diets, then that's their prerogative. But really, we have a duty of care to protect infants. And until children are older and can make up their minds and make an informed decision, then we need to give them something that's tried and tested and safe."