Show executives had concerns about the cha cha cha moves planned by James Jordan for Alex Jones and Kristina Rihanoff for Jason Donovan, The Sun claims.
A production insider told the paper: "Alex is a beautiful girl who looked amazing in her barely-there dress and James has obviously been working out, so he wanted to make the most of their first dance with some sexy twists and turns.
"But once show bosses saw rehearsal footage they had a word to remind James this is a family show."
Jordan was seen defending Jones to judge Craig Revel Horwood on Saturday's show, telling him: "Some of the celebrities from [Friday] are slightly disheartened... which you can understand. So... be a bit nicer?"
> 'Strictly Come Dancing': You be the judge - who danced best on Saturday's show?
> 'Strictly Come Dancing': You be the judge - who danced best on Friday's show?
Claiming that Rihanoff "decided to wait until later in the competition to get away with something raunchier" after producers spoke to her, the source added: "Dancers could get away with more on Friday's show because it aired after the 9pm watershed.
"But Saturday's went out at 6pm when a lot more families were watching. Going forward, that will be the time it normally airs, so you have to be careful about these things."
It has also been claimed that Audley Harrison's wife Raychel expressed concerns to his professional partner Natalie Lowe about some planned moves, with the show insider adding: "Natalie didn't mind toning it down at all."
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Watch highlights of Jason Donovan and Kristina Rihanoff's cha cha cha on week 1 of Strictly Come Dancing below: