The singers firmly denied any rumours of a rift between them and band mates Jesy Nelson and Leigh-Anne Pinnock.
During an exclusive chat with Mirror Online at Radio 1s Teen Awards, the girls also revealed they are heading back to the studio next week to start recording some new music.
Jade, 26, said they were sad to have finishing touring but added: We go back into the studio next week to start writing our next album so we cant wait to do that.
They also addressed the rumours of a rift within the band, following incidences where they missed each others parties and recently cancelled several Australian tour dates.
Perrie, 26, said: Weve always had rumours the past few years.
But that comes with being in a girl band. People assume that girls dont get along with girls.
But she firmly denied there was any infighting between the band, with Jade adding: We literally never fight. Were really boring!
Jade and Perrie also talked about their new BBC talent show airing next year, Little Mix: The Search, which will see them put together a new group.
Perrie said: "Auditions are happening now. There have been thousands of people auditioning. Its insane!
They previously said of the show: "We want to create lots of incredible groups who really gel.
"As we have been there and done it ourselves, we know what it takes to make a group successful, and will be there to mentor them every step of the way."
The show will be in direct competition with their former boss Simon Cowells new show, X Factor : The Band, which has the same premise.
Simon has insisted he came up with the idea, and told The Sun: "This is what really happened. I was approached to co-produce that show last year by Little Mixs management.
"I told them the problem was we have a conflict of interest because we are launching X Factor: The Band in 2020. We were told their show was going to launch in 2021.
"Then we had the fallout and find out Little Mix were bringing their show forward. Was that intentional because we are doing our show? I have no idea.
But regardless, it was too much fun not to do this year. I would rather it was us doing it first. It 100 per cent makes it more exciting there being a battle."
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