Jackson posted their Street/Commercial dance to Twitter with the caption: "Nice! #GoinIN • @BillBailey @OtiMabuse @bbcstrictly."
Bailey and Mabuse donned pinstripe suits and used a newspaper as a prop while kicking the routine off on a bench, just as Jackson does in the Alright video.
"@JanetJackson thank you @BillBailey you're a star," Mabuse tweeted in response to Jackson's approval.
The South African dancer could be in for another win after lifting the Glitterball trophy last year with Emmerdale star Kelvin Fletcher.
Janette Manrara, Amy Dowden, Nadiya Bychkova, Dianne Buswell, Oti Mabuse, Karen Clifton, Katya Jones and Luba Mushtuk arriving at the red carpet launch of Strictly Come Dancing 2018, BBC Broadcasting House, London. Photo credit should read: Doug Peters/EMPICS
Oti Mabuse and Graeme Swann arrives at the Daily Mirror Pride of Britain Awards 2018, at the Grosvenor Hotel, London. Picture date: Monday 29th October 2018. Photo credit should read: David Jensen/ EMPICS Entertainment
Oti Mabuse attending the TRIC Awards 2019 50th Birthday Celebration held at the Grosvenor House Hotel, London.
Strictly Come Dancing star Oti Mabuse arrives at Blackpool Tower Ballroom for Strictly Come Dancing rehearsals.
Oti Mabuse attending the Crazy Rich Asians Premiere held at Ham Yard Hotel, London.
Oti Mabuse arriving at the red carpet launch of Strictly Come Dancing 2018, BBC Broadcasting House, London. Photo credit should read: Doug Peters/EMPICS
Gemma Atkinson, Alexandra Burke, Susan Calman, Davood Ghadami, Joe McFadden, Debbie McGee, Jonnie Peacock, Aljaz Skorjanec, Gorka Marquez, Kevin Clifton, Nadiya Bychkova, Katya Jones, Giovanni Pernice and Oti Mabuse performing on stage during photocall before the opening night of Strictly Come Dancing Tour 2018 at Arena Birmingham in Birmingham, UK. Picture date: Thursday 18 January, 2018. Photo credit: Katja Ogrin/ EMPICS Entertainment.
Oti Mabuse attending the 2018 TRIC Awards at the Grosvenor House Hotel in London. Photo credit should read: Doug Peters/EMPICS Entertainment
Jonnie Peacock and Oti Mabuse posing during photocall before the opening night of Strictly Come Dancing Tour 2018 at Arena Birmingham in Birmingham, UK. Picture date: Thursday 18 January, 2018. Photo credit: Katja Ogrin/ EMPICS Entertainment.
Oti Mabuse attending the Beauty Awards 2017 with OK! held at the Pavilion in the Tower of London. Photo credit should read: Doug Peters/EMPICS Entertainment
Oti Mabuse and Anton du Beke leave Buckingham Palace in London after meeting the Duchess of Cornwall while filming part of the Strictly Come Dancing Christmas Special.
Oti Mabuse arriving at the Paddington 2 World Premiere, BFI Southbank, London. Picture credit should read: Doug Peters/Empics Entertainment
Oti Mabuse at the launch of Strictly Come Dancing 2017 at Broadcasting House in London.
Oti Mabuse attends the opening night of Cirque Du Soleil's Amaluna at the Royal Albert Hall, London. Photo date: Thursday 12th January 2017
Oti Mabuse, dancing partner of Strictly Come Dancing finalist Danny Mac, arrives at Broadcasting House, London, ahead of this weekend's final of the BBC's popular Saturday night TV show.
Strictly Come Dancing contestants Danny Mac and his partner Oti Mabuse and Ore Oduba and partner Joanne Clifton arrive at the Tower Ballroom, Blackpool, ahead of this weekend's show.
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Bailey is proving to be one to beat on the competition as he and Mabuse came in at joint second on Saturday's leaderboard.
He's certainly got an admirer in Craig Revel Horwood, who has confessed to being "shocked" by him.
The judge said on Thursday's Lorraine: "To be honest I am secretly actually loving Bill Bailey. I adore him, he just shocks me. Everytime I see him dance, I am surprised, amazed and delighted. I never thought for one moment he would be able to do it.
"He doesn't look like the type or the type of character... I love him, I would love to see him in the final. I think he is brilliant, the dark horse of the competition. I also think Maisie is fantastic as well... fantastic technique, great hip action."
Bailey himself has admitted to being surprised that he can do the Strictly routines.