Explaining, he added that the Cumberland sausage is originally German and the popular Indian dish chicken tikka masala was invented in Britain.
He added that when he's trying to "nudge" people to "try something new" he "edits" original dishes for his recipes.
Mr Oliver defended the name of the ready meal in a statement last month after Caribbean cook Rustie Lee claimed the recipe has "nothing to do with jerk".
Oliver told Sky News at the time: "I've worked with flavours and spices from all over the world my whole career, learning and drawing inspiration from different countries and cultures to give a fresh twist to the food we eat every day.
"When I named the rice my intention was only to show where my inspiration came from."
After remaining relatively quiet on the row, Jamie took to Twitter in August to give LBC radio host Steve Allen the reason behind his recent social media silence, saying he has "been quiet as you can't give oxygen to daftness".
He previously told Sky News: "I've worked with flavours and spices from all over the world my whole career, learning and drawing inspiration from different countries and cultures to give a fresh twist to the food we eat every day.
"When I named the rice my intention was only to show where my inspiration came from."
The shadow equalities minister, who describes herself on social media as "the UK's first elected female African-Caribbean Government Minister", wrote: "#jamieoliver @jamieoliver #jerk I'm just wondering do you know what #Jamaican #jerk actually is?
"It's not just a word you put before stuff to sell products. @levirootsmusic should do a masterclass. Your jerk Rice is not ok. This appropriation from Jamaica needs to stop."
After Ms Butler's tweet, TV chef Levi Roots appeared on Good Morning Britain with fellow Caribbean cook Rustie Lee to discuss the row further.
Roots admitted to hosts Jeremy Kyle and Kate Garraway: "I do think it was a mistake by Jamie, either by him or by his team."
But Lee appeared more infuriated by the row, saying: "It is an insult. Jerk is from the Caribbean. And as much as I love Jamie. The point is it's getting on a band wagon."
Roots, who took part in a televised "jerk masterclass" in London a few years ago, was less incensed.
He said: "I don't think its that serious. I think for Caribbean food to go get to where we want it to get to, we have to change things and I'm a big one for that.
"But you've got to know what jerk is. Jerk is a method of cooking and it is the actual marinade. If it doesn't have certain ingredients in it, it's not jerk.
"Not a lot of people watching this actually know what jerk is. They think it's just a word but it's a flavour. If you don't have these flavours in the food it's not jerk."
But Lee insisted that his use of marketing was offensive to her community, saying: "Why didn't he call it pukka rice? He's taken jerk to try and be funny. It's a bit of an insult to Caribbean people."
She added that Oliver's rice, which is made with aubergine, chilli and beans, is "nothing to do with jerk".
Trying to intervene, host Jeremy Kyle read out one definition of cultural appropriation.
He said: "Cultural appropriation is 'the adoption of elements of a minority culture by members of the dominant culture.
"It is distinguished from an equal cultural exchange due to an imbalance often as a by-product of colonialism and oppression."
But then exclaimed: "It's a bowl of rice!"
Asked why it mattered by co-presenter Kate Garraway, Lee responded: "It does matter.
"It matters because Jerk chicken, pork and fish originates from Jamaica. And the people who have this, it's their thing. Will they be offended? They would be offended.
"She [Dawn Butler] chose a word that made us talk. Would we have been here talking about it [otherwise]?"
"At the end of the day, I've tasted it and it tastes like Caribbean rice and beans with flavours in it.
"The jerk part of it is barbecue and you can't barbecue rice. Jerk chicken…goes onto meat, it doesn't go onto rice."
Jamie Oliver did not respond to GMB requests for comment. MailOnline has contacted one of his representatives.
