The Celebrity Gogglebox star has said he has been approached to appear on the show several times but has always turned the offers down.
Brandreth, who was previously a Conservative MP, said on Twitter: "Yes, I have been approached about doing #Strictly (and I’m flattered because I love the show), but sadly it’s not for me for this compelling reason: I ain’t got rhythm … I REALLY ain’t got rhythm."
Despite his refusal to appear on the dancing competition, Brandreth is no stranger to reality TV, appearing on several seasons of Celebrity Gogglebox alongside the likes of Carol Vorderman, Sheila Hancock and Joanna Lumley.
The BBC recently unveiled the full line-up for the next season of Strictly Come Dancing.
Former Blue Peter presenter Helen Skelton, Loose Women star Kaye Adams and actor Will Mellor will also be putting on their dancing shoes later this year.
The cast is rounded out by Animal Park host Hamza Yassin, comedian Jayde Adams, singer Fleur East, CBBC's Molly Rainford, DJs Tyler West and Richie Anderson and finally Paralympics star Ellie Simmonds.
Judge Bruno Tonioli recently confirmed his permanent departure from the show after missing the last two seasons due to COVID-19 restrictions.
Watch below: The Strictly Come Dancing 2022 line-up so far