The father-of-five has long favoured a sugar tax on fizzy drinks.
Simon Blagden, chief executive of Jamie's Italian, said the chain makes food with "responsibly sourced ingredients' and it is great to offer "the same choice when it comes to that occasional soft drink".
Karma Cola is also launching a new Chili Karma Cola exclusively with Wahaca.
Its original recipe is made with Fairtrade Organic cane sugar and kola nut grown in Sierra Leone.
Karma Cola's co-founder Simon Coley said the UK has become its second largest market.
It is sold through Waitrose, Ocado, Ceviche, Restaurant Story and by many independent restaurants and cafes.
The company is also behind Karma Cola Gingerella Ginger Ale, stocked by the Byron hamburger chain, and Karma Cola Lemmy Lemon.