The collective, who have called on Dixon to feature on their new single 'Take Control', said that there will always be a place in the group for the star, because they enjoy her "dirty cackle".
"We loved working with Alesha Dixon - she's soft, and has that dirty cackle," they told the Daily Star. "You can hear her laugh down the corridor before she turns up to perform with us.
"We'd like to take her on tour with us next year since we all know she can dance, dance, dance. She doesn't have a bad angle. There'll always be a place for Alesha in the Roll Deep crew."
Discussing their forthcoming album Winner Stays On, the group admitted that it is "poppier" than their previous efforts.
They continued: "Our new album Winner Stays On has a poppier feel than anything we've done before but that didn't make it more fun to make.
"We actually had the most fun recording the first one as there was no pressure. Things are getting serious now.
"After our first No. 1 single this year we partied for three days - it was amazing. But when 'Green Light' went to the top we weren't allowed to go wild because we had to finish the album."
Winner Stays On is released on November 8.